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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