3/4 + 2/5 = 1 3/20
How did we solve the problem above? When we add two fractions, such as 3/4 + 2/5, we make sure that the two denominators are the same and then we simply add the numerators. In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them intact. We also simplify the answers to fraction problems whenever possible.How To Add Fractions Learn how to calculate 3/4 + 2/5. Go here for step-by-step instructions on how to add fractions.
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Now you know the answer to the fraction problem: 3/4 + 2/5. To find the answer to another fraction problem, use our convenient Fraction Calculator below: More information from Research Maniacs:What is 3/4 minus 2/5?
What is 3/4 divided by 2/5?
What is 3/4 multiplied by 2/5?
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1 3/20
To get the answer to 3/4 plus 2/5 in decimal form, we simply divide the numerator by the denominator from our fraction answer:23 / 20 = 1.15
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What is 3/4 plus 2/6?
Here are the next fractions on our list that we have added together so you can learn how to add fractions. Copyright | Privacy Policy | Disclaimer | Contact3/4 + 2/5 is 23/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 5 is 20Next, find the equivalent fraction of both fractional numbers with denominator 20
- For the 1st fraction, since 4 × 5 = 20,
3/4 = 3 × 5/4 × 5 = 15/20 - Likewise, for the 2nd fraction, since 5 × 4 = 20,
2/5 = 2 × 4/5 × 4 = 8/20 - Add the two like fractions:
15/20 + 8/20 = 15 + 8/20 = 23/20 - So, 3/4 + 2/5 = 23/20
In mixed form: 13/20
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Related: 6/4+2/5 3/4+4/5 3/8+2/5 3/4+2/10 9/4+2/5 3/4+6/5 3/12+2/5 3/4+2/15 15/4+2/5 3/4+10/5 3/20+2/5 3/4+2/25 21/4+2/5 3/4+14/5 3/28+2/5 3/4+2/35
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. So next you try the next prime number, which is 7...
No good. So next you try the next prime number, which is 11...
No good. So next you try the next prime number, which is 13...
No good. So next you try the next prime number, which is 17...
No good. So next you try the next prime number, which is 19...
No good. So next you try the next prime number, which is 23...
No good. 23 is larger than 20. So we're done reducing.
And we're done! Here's the final answer to 2/5 + 3/4
Page 2
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
So far so good... let's try to divide by that number again.
No good. So next you try the next prime number, which is 3...
No good. 3 is larger than 2. So we're done reducing.
And we're done! Here's the final answer to 3/4 + 3/4
Page 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
No good. 2 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 3/4 + 1/4
Page 4
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
No good. 2 is larger than 1. So we're done reducing.
Congratulations! Here's your final answer to 1/4 + 1/4
Page 5
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. 5 is larger than 3. So we're done reducing.
And we're done! Here's the final answer to 1/4 + 1/2
Page 6
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
No good. 2 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 1/2 + 1/2
Page 7
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
Nope. Try the next prime number, 11...
No good. 11 is larger than 7. So we're done reducing.
Congratulations! Here's your final answer to 1/2 + 1/12
Page 8
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
So far so good... let's try to divide by that number again.
No good. 2 is larger than 1. So we're done reducing.
And we're done! Here's the final answer to 1/12 + 1/12
Page 9
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. So next you try the next prime number, which is 7...
No good. So next you try the next prime number, which is 11...
No good. So next you try the next prime number, which is 13...
No good. 13 is larger than 11. So we're done reducing.
And we're done! Here's the final answer to 1/12 + 10/12
Page 10
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
So far so good... let's try to divide by that number again.
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
So far so good... let's try to divide by that number again.
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. 5 is larger than 3. So we're done reducing.
And we're done! Here's the final answer to 10/12 + 10/12
Page 11
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. So next you try the next prime number, which is 7...
No good. So next you try the next prime number, which is 11...
No good. So next you try the next prime number, which is 13...
No good. 13 is larger than 11. So we're done reducing.
And we're done! Here's the final answer to 10/12 + 1/12
Page 12
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Let's try dividing by that again...
No good. 3 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 1/12 + 11/12
Page 13
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
No good. 7 is larger than 6. So we're done reducing.
Congratulations! Here's your final answer to 11/12 + 11/12
Page 14
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Let's try dividing by that again...
No good. 3 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 11/12 + 1/12
Page 15
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
Nope. Try the next prime number, 11...
No good. 11 is larger than 7. So we're done reducing.
Congratulations! Here's your final answer to 1/12 + 1/2
Page 16
Can this fraction be reduced?
First, we attempt to divide it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
No good. 5 is larger than 4. So we're done reducing.
Congratulations! Here's your final answer to 1/2 + 10/12
Page 17
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
Nope. Try the next prime number, 11...
Nope. Try the next prime number, 13...
Nope. Try the next prime number, 17...
Nope. Try the next prime number, 19...
Nope. Try the next prime number, 23...
Nope. Try the next prime number, 29...
Nope. Try the next prime number, 31...
Nope. Try the next prime number, 37...
Nope. Try the next prime number, 41...
Nope. Try the next prime number, 43...
Nope. Try the next prime number, 47...
Nope. Try the next prime number, 53...
Nope. Try the next prime number, 59...
Nope. Try the next prime number, 61...
Nope. Try the next prime number, 67...
No good. 67 is larger than 66. So we're done reducing.
Congratulations! Here's your final answer to 10/12 + 10/11
Page 18
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
Nope! So now we try the next greatest prime number, 13...
No good. 13 is larger than 11. So we're done reducing.
There you have it! Here's the final answer to 10/11 + 10/11
Page 19
Can this fraction be reduced?
First, we attempt to divide it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:
Let's try dividing by that again...
No good. 11 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 10/11 + 1/11
Page 20
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
No good. 3 is larger than 2. So we're done reducing.
There you have it! Here's the final answer to 1/11 + 1/11
Page 21
Can this fraction be reduced?
First, we attempt to divide it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:
Let's try dividing by that again...
No good. 11 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 1/11 + 10/11
Page 22
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
Nope. Try the next prime number, 11...
Nope. Try the next prime number, 13...
Nope. Try the next prime number, 17...
Nope. Try the next prime number, 19...
Nope. Try the next prime number, 23...
Nope. Try the next prime number, 29...
Nope. Try the next prime number, 31...
Nope. Try the next prime number, 37...
Nope. Try the next prime number, 41...
Nope. Try the next prime number, 43...
Nope. Try the next prime number, 47...
Nope. Try the next prime number, 53...
Nope. Try the next prime number, 59...
Nope. Try the next prime number, 61...
Nope. Try the next prime number, 67...
No good. 67 is larger than 66. So we're done reducing.
Congratulations! Here's your final answer to 10/11 + 10/12
Page 23
Can this fraction be reduced?
First, we attempt to divide it by 2...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Let's try dividing by that again...
Nope! So now we try the next greatest prime number, 5...
No good. 5 is larger than 4. So we're done reducing.
There you have it! Here's the final answer to 10/12 + 11/12
Page 24
Can this fraction be reduced?
First, we attempt to divide it by 2...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Let's try dividing by that again...
Nope! So now we try the next greatest prime number, 5...
No good. 5 is larger than 4. So we're done reducing.
There you have it! Here's the final answer to 11/12 + 10/12
Page 25
Can this fraction be reduced?
First, we attempt to divide it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
No good. 5 is larger than 4. So we're done reducing.
Congratulations! Here's your final answer to 10/12 + 1/2
Page 26
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. So next you try the next prime number, which is 7...
No good. So next you try the next prime number, which is 11...
No good. So next you try the next prime number, which is 13...
No good. 13 is larger than 12. So we're done reducing.
And we're done! Here's the final answer to 1/2 + 11/12