CONVERTING DECIMALS TO MIXED NUMBERS

Convert the following to fractions or mixed numbers. 

Problem 1 :

0.45

Solution :

The decimal number 0.45 is less than 1. So, It can be converted to a proper fraction.

Since, there are two digits after the decimal point in 0.45, write it as a fraction with denominator 100.

= 45/100

= 9/20

Problem 2 :

0.7

Solution :

The decimal number 0.7 is less than 1. So, It can be converted to a proper fraction.

Since, there is one digit after the decimal point in 0.7, write it as a fraction with denominator 10.

= 7/10

Problem 3 :

0.28

Solution :

The decimal number 0.28 is less than 1. So, It can be converted to a proper fraction.

Since, there are two digits after the decimal point in 0.28, write it as a fraction with denominator 100.

= 28/100

= 7/25

Problem 4 :

0.92

Solution :

The decimal number 0.92 is less than 1. So, It can be converted to a proper fraction.

Since, there are two digits after the decimal point in 0.92, write it as a fraction with denominator 100.

= 92/100

= 23/25

Problem 5 :

0.47

Solution :

The decimal number 0.47 is less than 1. So, It can be converted to a proper fraction.

Since, there are two digits after the decimal point in 0.47, write it as a fraction with denominator 100.

= 47/100

Problem 6 :

0.74

Solution :

The decimal number 0.74 is less than 1. So, It can be converted to a proper fraction.

Since, there are two digits after the decimal point in 0.74, write it as a fraction with denominator 100.

= 74/100

= 37/50

Problem 7 :

0.875

Solution :

The decimal number 0.875 is less than 1. So, It can be converted to a proper fraction.

Since, there are three digits after the decimal point in 0.875, write it as a fraction with denominator 1000.

= 875/1000

= 7/8

Problem 8 :

0.5

Solution :

The decimal number 0.5 is less than 1. So, It can be converted to a proper fraction.

Since, there is one digit after the decimal point in 0.5, write it as a fraction with denominator 10.

= 5/10

= 1/2

Problem 9 :

0.8

Solution :

The decimal number 0.8 is less than 1. So, It can be converted to a proper fraction.

Since, there is one digit after the decimal point in 0.8, write it as a fraction with denominator 10.

= 8/10

= 4/5

Problem 10 :

0.125

Solution :

The decimal number 0.125 is less than 1. So, It can be converted to a proper fraction.

Since, there are three digits after the decimal point in 0.125, write it as a fraction with denominator 1000.

= 125/1000

= 1/8

Problem 11 :

3.4

Solution :

The decimal number 3.4 is greater than 1. So, It can be converted to a improper fraction.

Since, there is one digit after the decimal point in 3.4, write it as a fraction with denominator 10.

= 34/10

= 17/5

The fraction number is converted to a mixed number.

= 3 + 2/5

= 3  2/5

Problem 12 :

16.25

Solution :

The decimal number 16.25 is greater than 1. So, It can be converted to a improper fraction.

Since, there is two digits after the decimal point in 16.25, write it as a fraction with denominator 100.

= 1625/100

= 65/4

The fraction number is converted to a mixed number.

= 16 + 1/4

= 16  1/4

Problem 13 :

8.3

Solution :

The decimal number 8.3 is greater than 1. So, It can be converted to a improper fraction.

Since, there is one digit after the decimal point in 8.3, write it as a fraction with denominator 10.

= 83/10

The fraction number is converted to a mixed number.

= 8 + 3/10

= 8  3/10

Problem 14 :

14.32

Solution :

The decimal number 14.32 is greater than 1. So, It can be converted to a improper fraction.

Since, there is two digits after the decimal point in 14.32, write it as a fraction with denominator 100.

= 1432/100

= 358/25

The fraction number is converted to a mixed number.

= 14 + 8/25

= 14  8/25

Problem 15 :

6.425

Solution :

The decimal number 6.425 is greater than 1. So, It can be converted to a improper fraction.

Since, there is three digits after the decimal point in 6.425, write it as a fraction with denominator 1000.

= 6425/1000

= 257/40

The fraction number is converted to a mixed number.

= 6 + 17/40

= 6  17/40

Problem 16 :

17.78

Solution :

The decimal number 17.78 is greater than 1. So, It can be converted to a improper fraction.

Since, there is two digits after the decimal point in 17.78, write it as a fraction with denominator 100.

= 1778/100

= 889/50

The fraction number is converted to a mixed number.

= 17 + 39/50

= 17  39/50

Problem 17 :

19.76

Solution :

The decimal number 19.76 is greater than 1. So, It can be converted to a improper fraction.

Since, there is two digits after the decimal point in 19.76, write it as a fraction with denominator 100.

= 1976/100

= 494/25

The fraction number is converted to a mixed number.

= 19 + 19/25

= 19  19/25

Problem 18 :

5.15

Solution :

The decimal number 5.15 is greater than 1. So, It can be converted to a improper fraction.

Since, there is two digits after the decimal point in 5.15, write it as a fraction with denominator 100.

= 515/100

= 103/20

The fraction number is converted to a mixed number.

= 5 + 3/20

= 5  3/20

Problem 19 :

4.17

Solution :

The decimal number 4.17 is greater than 1. So, It can be converted to a improper fraction.

Since, there is two digits after the decimal point in 4.17, write it as a fraction with denominator 100.

= 417/100

The fraction number is converted to a mixed number.

= 4 + 17/100

= 4  17/100

Problem 20 :

8.74

Solution :

The decimal number 8.74 is greater than 1. So, It can be converted to a improper fraction.

Since, there is two digits after the decimal point in 8.74, write it as a fraction with denominator 100.

= 874/100

= 437/50

The fraction number is converted to a mixed number.

= 8 + 37/50

= 8  37/50