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Converting Decimals To Fractions

Introduction

Converting a decimal to a fraction simply means to express the decimal in the form of a fraction. So in fraction form, 0.5 can be written as 50/100 (decimal fraction) or as (simplified fraction).

Terms

Decimal - A number greater than any whole number.
Fraction - A part of a whole can be expressed as a fraction.
Decimal Fraction - The un-simplified form of a fraction that has been converted from a decimal.
Simplified Fraction - A fraction that has been reduced to the lowest possible whole numbers.

Lesson

Converting a decimal to a fraction is very easy. We can express the decimal being converted as divisible by 1. So 0.75 can be written as . Now we take the number of decimal places (this particular decimal has places up to the hundredths) and multiply the top and bottom by that number. . This is the decimal fraction. Simplifying this fraction means dividing the top and bottom by the highest common factor (in this case 25), so we get

Examples

Converting Decimals to Fractions (Example #1)

Write as a fraction in lowest terms
We can write , meaning 47 hundredths

Converting Decimals to Fractions (Example #2)

Write as a fraction in lowest terms
We can write , meaning 6 tenths

Converting Decimals to Fractions (Example #3)

Write as a fraction in lowest terms
We can write , meaning 111 thousandths

Converting Decimals to Fractions (Example #4)

Write as a fraction in lowest terms
We can write , meaning 45 hundredths
More Examples

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