# WRITING MIXED NUMBERS AS DECIMALS

## About "Writing mixed numbers as decimals"

Writing mixed numbers as decimals :

We can write a mixed number to a decimal by rewriting the fractional part of the number as a decimal.

For example :

In the mixed number 6 1/2, we have to convert the fractional part 1/2 as decimal.

Then, we get 1/2  =  0.5.

So, 6 1/2  =  6.5.

## Writing mixed numbers as decimals - Examples

Example 1 :

Write the mixed number 2 5/16 as a decimal.

Solution :

Take the fractional part 5/16.

Divide 5 by 16.

Add a zero after the decimal point. Subtract 48 from 50. Use the grid to help you complete the long division.

Add zeros in the dividend and continue dividing until the remainder is 0.

The above explained process has been illustrated in the picture given below.

The decimal equivalent to the fractional part 5/16 is 0.3125.

Hence, the decimal form the mixed number 2 5/16 is 2.3125.

Example 2 :

Write the rational number 7 13/33 as a decimal.

Solution :

Take the fractional part 13/33.

Divide 13 by 33.

Add a zero after the decimal point. Subtract 99 from 130.  Use the grid to help you complete the long division.

Write the quotient with its repeating pattern and indicate that the repeating numbers continue.

The above explained process has been illustrated in the picture given below.

The decimal equivalent to the fractional part 13/33 is 0.3939...........

Hence, the decimal form the mixed number 7 13/33 is 7.3939.............

Example 3 :

Write the rational number 2 60/75 as a decimal.

Solution :

Take the fractional part 60/75.

Divide 60 by 75.

Add a zero after the decimal point. Subtract 600 from 600.

When we do so, we get the remainder 0.

The above explained process has been illustrated in the picture given below.

The decimal equivalent to the fractional part 60/75 is 0.8.

Hence, the decimal form the mixed number 2 60/75 is 2.8.

Example 4 :

Shawn rode his bike 6 3/4 miles to the science museum. Write 6 3/4 as a decimal

Solution :

Step 1 :

Rewrite the fractional part of the number as a decimal.

Take the fractional part 3/4

Divide 3 by 4.

Add a zero after the decimal point. Subtract 28 from 30.

Add zeros in the dividend and continue dividing until the remainder is 0.

The above explained process has been illustrated in the picture given below.

The decimal equivalent to the fractional part 3/4 is 0.75.

Step 2 :

Rewrite the mixed number as the sum of the whole part and the decimal part.

6 3/4  =  6 + 3 / 4

6 3/4  =  6 + 0.75

6 3/4  =  6.75

Hence, the decimal form the mixed number 6 3/4 is 6.75.

After having gone through the stuff given above, we hope that the students would have understood "Writing mixed numbers as decimals".

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