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Follow these 3 steps to convert mixed numbers to improper fractions:
- Multiply the whole number by the denominator
- Add the answer from Step 1 to the numerator
- Write answer from Step 2 over the denominator
A mixed number is a whole number plus a fractional part. An improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number). You can convert between mixed numbers and improper fractions without changing the value of the figure.
Example: Convert the following mixed number to an improper fraction.
Step 1: Multiply the denominator (the bottom number in the fraction) and the whole number
9 × 3 = 27
Step 2: Add the answer from Step 1 to the numerator (the top number in the fraction)
27 + 5 = 32
Step 3: Write answer from Step 2 over the denominator
As an alternative, once you get comfortable with the steps, you can simplify the process and do all 3 steps at once:
\( 3\dfrac{5}{9}=\dfrac{9\times3+5}{9}=\dfrac{32}{9} \)
Use the Simplifying Fractions Calculator to convert improper fractions to mixed numbers.
What is 12/3 as a mixed number? 12/3 as a mixed number is 4 0/1. Here we will show you how to convert 12/3 improper fraction to mixed number with step by step detailed solution.
12/3 into mixed number
4 0/1
Page 2
What is 13/4 as a mixed number? 13/4 as a mixed number is 3 1/4. Here we will show you how to convert 13/4 improper fraction to mixed number with step by step detailed solution.
13/4 into mixed number
3 1/4
Page 3
What is 14/5 as a mixed number? 14/5 as a mixed number is 2 4/5. Here we will show you how to convert 14/5 improper fraction to mixed number with step by step detailed solution.
14/5 into mixed number
2 4/5
Page 4
In order to convert 15/6 to mixed number, you follow these steps :
- Divide the numerator by the denominator
15 ÷ 6 = 2 with a remainder of 3
- Write down the whole number 2 and then write down the remainder as new numerator (3) above the denominator (6), As below :
2 3/6
You can reduce the fraction part of this mixed number :
Find the greatest common factor of 3 and 6
GCF(3,6) = 3
3 ÷ 3/6 ÷ 3 = 1/2
Therefore, The improper fraction 15/6 converted to mixed number is :
21/2
Page 5
What is 16/7 as a mixed number? 16/7 as a mixed number is 2 2/7. Here we will show you how to convert 16/7 improper fraction to mixed number with step by step detailed solution.
16/7 into mixed number
2 2/7
Page 6
What is 17/8 as a mixed number? 17/8 as a mixed number is 2 1/8. Here we will show you how to convert 17/8 improper fraction to mixed number with step by step detailed solution.
17/8 into mixed number
2 1/8
Page 7
What is 18/9 as a mixed number? 18/9 as a mixed number is 2 0/1. Here we will show you how to convert 18/9 improper fraction to mixed number with step by step detailed solution.
18/9 into mixed number
2 0/1
Page 8
What is 19/10 as a mixed number? 19/10 as a mixed number is 1 9/10. Here we will show you how to convert 19/10 improper fraction to mixed number with step by step detailed solution.
19/10 into mixed number
1 9/10
Page 9
In order to convert 21/12 to mixed number, you follow these steps :
- Divide the numerator by the denominator
21 ÷ 12 = 1 with a remainder of 9
- Write down the whole number 1 and then write down the remainder as new numerator (9) above the denominator (12), As below :
1 9/12
You can reduce the fraction part of this mixed number :
Find the greatest common factor of 9 and 12
GCF(9,12) = 3
9 ÷ 3/12 ÷ 3 = 3/4
Therefore, The improper fraction 21/12 converted to mixed number is :
13/4
Page 10
What is 22/13 as a mixed number? 22/13 as a mixed number is 1 9/13. Here we will show you how to convert 22/13 improper fraction to mixed number with step by step detailed solution.
22/13 into mixed number
1 9/13
Page 11
What is 23/14 as a mixed number? 23/14 as a mixed number is 1 9/14. Here we will show you how to convert 23/14 improper fraction to mixed number with step by step detailed solution.
23/14 into mixed number
1 9/14
Page 12
In order to convert 24/15 to mixed number, you follow these steps :
- Divide the numerator by the denominator
24 ÷ 15 = 1 with a remainder of 9
- Write down the whole number 1 and then write down the remainder as new numerator (9) above the denominator (15), As below :
1 9/15
You can reduce the fraction part of this mixed number :
Find the greatest common factor of 9 and 15
GCF(9,15) = 3
9 ÷ 3/15 ÷ 3 = 3/5
Therefore, The improper fraction 24/15 converted to mixed number is :
13/5
Page 13
What is 25/16 as a mixed number? 25/16 as a mixed number is 1 9/16. Here we will show you how to convert 25/16 improper fraction to mixed number with step by step detailed solution.
25/16 into mixed number
1 9/16
Page 14
What is 26/17 as a mixed number? 26/17 as a mixed number is 1 9/17. Here we will show you how to convert 26/17 improper fraction to mixed number with step by step detailed solution.
26/17 into mixed number
1 9/17
Page 15
In order to convert 27/18 to mixed number, you follow these steps :
- Divide the numerator by the denominator
27 ÷ 18 = 1 with a remainder of 9
- Write down the whole number 1 and then write down the remainder as new numerator (9) above the denominator (18), As below :
1 9/18
You can reduce the fraction part of this mixed number :
Find the greatest common factor of 9 and 18
GCF(9,18) = 9
9 ÷ 9/18 ÷ 9 = 1/2
Therefore, The improper fraction 27/18 converted to mixed number is :
11/2
Page 16
What is 28/19 as a mixed number? 28/19 as a mixed number is 1 9/19. Here we will show you how to convert 28/19 improper fraction to mixed number with step by step detailed solution.
28/19 into mixed number
1 9/19
Page 17
What is 29/20 as a mixed number? 29/20 as a mixed number is 1 9/20. Here we will show you how to convert 29/20 improper fraction to mixed number with step by step detailed solution.
29/20 into mixed number
1 9/20
Page 18
What is 32/23 as a mixed number? 32/23 as a mixed number is 1 9/23. Here we will show you how to convert 32/23 improper fraction to mixed number with step by step detailed solution.
32/23 into mixed number
1 9/23
Page 19
In order to convert 33/24 to mixed number, you follow these steps :
- Divide the numerator by the denominator
33 ÷ 24 = 1 with a remainder of 9
- Write down the whole number 1 and then write down the remainder as new numerator (9) above the denominator (24), As below :
1 9/24
You can reduce the fraction part of this mixed number :
Find the greatest common factor of 9 and 24
GCF(9,24) = 3
9 ÷ 3/24 ÷ 3 = 3/8
Therefore, The improper fraction 33/24 converted to mixed number is :
13/8
Page 20
What is 34/25 as a mixed number? 34/25 as a mixed number is 1 9/25. Here we will show you how to convert 34/25 improper fraction to mixed number with step by step detailed solution.
34/25 into mixed number
1 9/25
Page 21
What is 35/26 as a mixed number? 35/26 as a mixed number is 1 9/26. Here we will show you how to convert 35/26 improper fraction to mixed number with step by step detailed solution.
35/26 into mixed number
1 9/26
Page 22
In order to convert 36/27 to mixed number, you follow these steps :
- Divide the numerator by the denominator
36 ÷ 27 = 1 with a remainder of 9
- Write down the whole number 1 and then write down the remainder as new numerator (9) above the denominator (27), As below :
1 9/27
You can reduce the fraction part of this mixed number :
Find the greatest common factor of 9 and 27
GCF(9,27) = 9
9 ÷ 9/27 ÷ 9 = 1/3
Therefore, The improper fraction 36/27 converted to mixed number is :
11/3
Page 23
What is 37/28 as a mixed number? 37/28 as a mixed number is 1 9/28. Here we will show you how to convert 37/28 improper fraction to mixed number with step by step detailed solution.
37/28 into mixed number
1 9/28
Page 24
What is 38/29 as a mixed number? 38/29 as a mixed number is 1 9/29. Here we will show you how to convert 38/29 improper fraction to mixed number with step by step detailed solution.
38/29 into mixed number
1 9/29
Page 25
In order to convert 39/30 to mixed number, you follow these steps :
- Divide the numerator by the denominator
39 ÷ 30 = 1 with a remainder of 9
- Write down the whole number 1 and then write down the remainder as new numerator (9) above the denominator (30), As below :
1 9/30
You can reduce the fraction part of this mixed number :
Find the greatest common factor of 9 and 30
GCF(9,30) = 3
9 ÷ 3/30 ÷ 3 = 3/10
Therefore, The improper fraction 39/30 converted to mixed number is :
13/10
Page 26
What is 43/34 as a mixed number? 43/34 as a mixed number is 1 9/34. Here we will show you how to convert 43/34 improper fraction to mixed number with step by step detailed solution.
43/34 into mixed number
1 9/34