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Study Guide: Mathematics: Converting Between Percentages, Fractions, and Decimals
Source: https://www.fatskills.com/teaching/chapter/mathematics-converting-between-percentages-fractions-and-decimals

Mathematics: Converting Between Percentages, Fractions, and Decimals

By Fatskills Exam Guides Team — the exam nerds behind 28,500+ quizzes and 2.1M practice questions across 500+ global exams.

⏱️ ~1 min read

Converting decimals to percentages and percentages to decimals is as simple as moving the decimal point.

To convert from a decimal to a percentage, move the decimal point two places to the right.

To convert from a percentage to a decimal, move it two places to the left.

It may be helpful to remember that the percentage number will always be larger than the equivalent decimal number.

For

To convert a fraction to a decimal, simply divide the numerator by the denominator in the fraction.

To convert a decimal to a fraction, put the decimal in the numerator with 1 in the denominator. Multiply the numerator and denominator by tens until there are no more decimal places. Then simplify the fraction to lowest terms. For example, converting 0.24 to a fraction:

Fractions can be converted to a percentage by finding equivalent fractions with a denominator of 100.

For example,

 

To convert a percentage to a fraction, divide the percentage number by 100 and reduce the fraction to its simplest possible terms.

For example,



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