What is 1 out of 30 as a percentage? Show
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.1: 30*100 = (.1*100): 30 = 10: 30 = 0.33 Now we have: .1 is what percent of 30 = 0.33 Question: .1 is what percent of 30? Percentage solution with steps: Step 1: We make the assumption that 30 is 100% since it is our output value. Step 2: We next represent the value we seek with {x}. Step 3: From step 1, it follows that {100\%}={ 30}. Step 4: In the same vein, {x\%}={.1}. Step 5: This gives us a pair of simple equations: {100\%}={ 30}(1). {x\%}={.1}(2). Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS \frac{100\%}{x\%}=\frac{ 30}{.1} Step 7: Taking the inverse (or reciprocal) of both sides yields \frac{x\%}{100\%}=\frac{.1}{ 30} \Rightarrow{x} = {0.33\%} Therefore, {.1} is {0.33\%} of { 30}. A fraction consists of two numbers and the fraction bar:- 1/30The number above the fraction bar is the numerator: - 1The number under the fraction bar is the denominator: 30To get the fraction's value, divide the numerator by the denominator:The value = - 1 ÷ 30'Percent (%)' means 'out of one hundred':p% = p 'out of one hundred',p% = p/100 = p ÷ 100.1) Calculate the value of the fraction.2) Multiply this number by 100.3) Add the percent sign %- 1/30 =- 1 ÷ 30 ≈- 0.033333333333333100/100 = 100 ÷ 100 = 100% = 1Multiply a number by the fraction 100/100 |
Percentage | Fraction | Decimal |
---|---|---|
3.33% | 1 / 30 | 0.03 |
Find the Denominator
A percentage is a number out of 100, so we need to make our denominator 100!
If the original denominator is 30, we need to solve for how we can make the denominator 100.
To convert this fraction, we would divide 100 by 30, which gives us 3.33.
Find the Numerator
Now, we multiply 3.33 by 1, our original numerator, which is equal to 3.33
Convert your Fraction to a Percent
Remember, a percentage is any number out of 100. If we can balance 1 / 30 with a new denominator of 100, we can find the percentage of that fraction!
Help your students convert 1 / 30 through further understanding:
- What is the numerator of 1 / 30?
- What is the denominator of 1 / 30?
- When would you use 1 / 30 as a fraction? Give examples
- When would you use 1 / 30 as a decimal? Give examples
- When would you use 1 / 30 as a percentage? Give examples
- What are three other fractions that convert to 3.33%?
- Ask your students to think of three real life examples of when to use fractions vs percentages.
- Which fraction is larger: 1 / 30 or 148 / 36?