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In Mathematics / Middle School | 2014-10-26

How do you find a fraction of something if the whole number isn't divisible by the denominator?

Asked by Anonymous

Answer (2)

To find a fraction of a number when the whole number isn't divisible by the denominator, divide the whole number by the denominator, write the remainder as a new fraction, and combine it with the quotient. Ratios can be converted to fractions or percentages, and when converting units, ensure numerator units cancel out the denominator units.
To find a fraction of a number when the whole number isn't divisible by the denominator, you follow these steps:

Divide the whole number by the denominator of the fraction to get a quotient and a remainder.
Write the quotient as a whole number and the remainder over the original denominator to represent the additional fractional part.
Add this fractional part to the whole number if necessary.

For example, let's find 1/4 of 10. Dividing 10 by 4 gives us 2 with a remainder of 2, so we have 2 whole parts and a fractional part of 2/4, which reduces to 1/2. The final answer is 2 1/2.
If you need to convert a ratio to a fraction or a percentage, remember that ratios can be expressed as fractions and percentages are fractions with a denominator of 100. For example, a ratio of 3:2 can be written as 3/2 or 150% (since 3 divided by 2 equals 1.5, and multiplying by 100 to convert to a percentage gives 150%).
When converting units, ensure that units in the numerator cancel out the units in the denominator to get the correct desired units.

Answered by Anshuyadav | 2024-06-24

To find a fraction of a number when the number isn't divisible by the denominator, divide the number and express the remainder as a fraction over the denominator. Combine the quotient with the fractional part for the final answer. For example, 5 3 ​ of 14 equals 2 5 4 ​ .
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Answered by Anshuyadav | 2025-01-18