How to find a fraction from a percentage

SSAT Upper Level Quantitative · Learn by Concept

Help Questions

SSAT Upper Level Quantitative › How to find a fraction from a percentage

1 - 10

1

Which of the following operations is equivalent to taking of a number?

Dividing the number by

CORRECT

Dividing the number by

0

Dividing the number by

0

Moving the decimal point one place to the left, then doubling the result

0

Moving the decimal point one place to the left, then tripling the result

0

Explanation

Let's just pick a number at random, for example .

of this number is , which is divided by .

We can also work by simplifying the fractional form of . A percent can be written as the number divided by .

$=\frac{25}{100}$

We can simplify this fraction: $\frac{25}{100}=\frac{5}{20}=\frac{1}{4}$ .

Either way, we get the same answer.

2

What is as a fraction?

$\frac{29}{200}$

CORRECT

$\frac{1}{14}$

0

$\frac{145}{100}$

0

Explanation

Put the number over and drop the percent sign.

$14.5%=\frac{14.5}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{14.5\times10}{100\times10}=\frac{145}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{145}{1000}=\frac{29}{200}$

3

What is as a fraction?

$\frac{329}{1000}$

CORRECT

$\frac{8}{25}$

0

$\frac{16}{25}$

0

$\frac{329}{100}$

0

Explanation

Put the number over and drop the percent sign.

$32.9%=\frac{32.9}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{32.9\times10}{100\times10}=\frac{329}{1000}$

4

What is as a fraction?

$\frac{73}{125}$

CORRECT

$\frac{583}{1000}$

0

$\frac{29}{50}$

0

$\frac{4}{5}$

0

Explanation

Put the number over and drop the percent sign.

$58.4%=\frac{58.4}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{58.4\times10}{100\times10}=\frac{584}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{584}{1000}=\frac{73}{125}$

5

What is as a fraction?

$\frac{121}{500}$

CORRECT

$\frac{121}{50}$

0

$\frac{6}{25}$

0

$\frac{119}{500}$

0

Explanation

Put the number over and drop the percent sign.

$24.2%=\frac{24.2}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{24.2\times10}{100\times10}=\frac{242}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{242}{1000}=\frac{121}{500}$

6

Convert into a fraction.

$\frac{31}{50}$

CORRECT

$\frac{1}{62}$

0

$\frac{31}{40}$

0

$\frac{3}{5}$

0

Explanation

Put the number over and drop the percent sign. Then, reduce to simplest form.

$62%=\frac{62}{100}=\frac{31}{50}$

7

What is as a fraction?

$\frac{42}{125}$

CORRECT

$\frac{84}{25}$

0

$\frac{336}{701}$

0

$\frac{1}{3}$

0

Explanation

Put the number over and drop the percent sign.

$33.6%=\frac{33.6}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{33.6\times10}{100\times10}=\frac{336}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{336}{1000}=\frac{42}{125}$

8

What is as a fraction?

$\frac{473}{500}$

CORRECT

$\frac{473}{1000}$

0

$\frac{1}{95}$

0

$\frac{19}{20}$

0

Explanation

Put the number over and drop the percent sign.

$94.6%=\frac{94.6}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{94.6\times10}{100\times10}=\frac{946}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{946}{1000}=\frac{473}{500}$

9

What is as a fraction?

$\frac{437}{500}$

CORRECT

$\frac{1}{87}$

0

$\frac{4}{5}$

0

$\frac{439}{500}$

0

Explanation

Put the number over and drop the percent sign.

$87.4%=\frac{87.4}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{87.4\times10}{100\times10}=\frac{874}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{874}{1000}=\frac{437}{500}$

10

Convert into a fraction.

$\frac{7}{50}$

CORRECT

$\frac{1}{14}$

0

$\frac{7}{25}$

0

$\frac{1}{7}$

0

Explanation

Put the number over and drop the percent sign. Then, reduce to simplest form.

$14%=\frac{14}{100}=\frac{7}{50}$

Return to subject

AI Study CoachYour personal study buddy

Instant TutoringConnect with a tutor now

Request a TutorGet matched with an expert

Live ClassesJoin interactive classes

Question of the DayDaily practice to build your skills

FlashcardsStudy and memorize key concepts

WorksheetsBuild custom practice quizzes

AI SolverStep-by-step problem solutions

Learn by ConceptMaster concepts step by step

Diagnostic TestsAssess your knowledge level

Practice TestsTest your skills with exam questions

GamesLearn through free games