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## Definition:

Decimals can be converted into fractions. Decimals in the tenths and hundredths place can be converted into fractions with denominators of 10 and 100 respectively, then must be simplified into its simplest form.

## Summary:

Converting decimals to fractions is very easy. This can be done in 3 easy steps, which you will be able to learn from this worksheet.

**STEP 1: DIVIDE THE DECIMAL BY 1**

When you have the decimal, write it down then divide it by 1. Your decimal should look something like this: **Decimal/1**

**STEP 2: MULTIPLY BY 10**

Multiply the numerator and denominator by 10 for every number that comes after the decimal point. If there are 2 numbers, then multiply the fraction by 100, since 10×10=100.

**STEP 3: IDENTIFY ITS GREATEST COMMON FACTOR **

Now that you have a fraction, you have to simplify it by looking for the GCF. This is the largest number that can both be divided to the numerator and denominator. Note: some fractions cannot be simplified.

**HOW TO FIND THE GCF? **

- List down all the factors of the given numbers until you find all the prime numbers.
- Get all the common prime numbers then multiply it.

*Example:*

3 x **5** x **5** = 75

2 x 2 x **5** x **5** = 100

Common Factors: **5 & 5**

So: **5 x 5 = ****25**

## Converting Decimals to Fractions Worksheets

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