WRITING MIXED NUMBERS AS DECIMALS WORKSHEET

Problem 1 : 

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

Problem 2 : 

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

Problem 3 : 

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

Problem 4 : 

Shawn rode his bike to the science museum. The distance to the science museum is given in the picture below. Write the distance as decimal.

Detailed Answer Key

Problem 1 : 

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

Solution : 

Rewrite the fractional part of the number 5/16 as a decimal. 

Divide 5 by 16.

Step 1 :

Take decimal point after 5.

Step 2 :

Add a zero after the decimal point.

Step 3 : 

In 50, there are three 16's which is 48. So, 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.

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

2 5/16  =  2 + 5/16

2 5/16  =  2 + 0.3125

2 5/16  =  2.3125

Problem 2 : 

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

Solution : 

Rewrite the fractional part of the number 13/33 as a decimal. 

Divide 13 by 33.

Step 1 :

Take decimal point after 13.

Step 2 :

Add a zero after the decimal point.

Step 3 : 

In 130, there are three 33's which is 99. So, 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...........

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

7 13/33  =  7 + 13/33

7 13/33  =  7 + 0.3939............. 

7 13/33  =  7.3939............. 

Problem 3 : 

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

Solution : 

Rewrite the fractional part of the number 60/75 as a decimal. 

Divide 60 by 75.

Step 1 :

Take decimal point after 60.

Step 2 :

Add a zero after the decimal point.

Step 3 : 

In 600, there are eight 75's which is 600. So, 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.

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

2 60/75  =  2 + 60/75

2 60/75  =  2 + 0.8

2 60/75  =  2.8

Problem 4 : 

Shawn rode his bike to the science museum. The distance to the science museum is given in the picture below. Write the distance as decimal.

Solution : 

Step 1 :

From the picture shown below, the distance to the science museum is 6 3/4 miles. 

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

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