CONVERTING MIXED FRACTIONS TO DECIMALS WORKSHEET

Covert the following mixed fractions to decimals.

Problem 1 :

3 3/20

Problem 2 :

5 7/10

Problem 3 :

9 3/50

Problem 4 :

9 1/2

Problem 5 :

24 3/4

Problem 6 :

5 2/3

Problem 7 :

7 3/8

Problem 8 :

27 5/6

Problem 9 :

13 4/9

Problem 10 :

1 5/8

Detailed Answer Key

Problem 1 : 

3 3/20

Solution : 

In  the given mixed number, the denominator is 20 which is convertible to 100 using multiplication by 5.

So, we have 

3 3/20 = 3 (3 ⋅ 5)/(20 ⋅ 5)

3 3/20  =  3 15/100

3 3/20  = 3.15

Problem 2 :

5 7/10

Solution : 

In  the given mixed number, the denominator is 10. 

So, we have 

5 7/10  =  5.7 

Problem 3 :

9 3/50

Solution : 

In  the given mixed number, the denominator is 50 which is convertible to 100 using multiplication by 2. 

So, we have 

9 3/50  =  9 (3 ⋅ 2)/(50 ⋅ 2)

9 3/50  =  9 6/100

9 3/50  =  9.06

Problem 4 :

9 1/2

Solution : 

In  the given mixed number, the denominator is 2 which is convertible to 10 using multiplication by 5. 

So, we have 

9 1/2 = 9 (1 ⋅ 5)/(2 ⋅ 5)

9 1/2  =  9 5/10

9 1/2  =  9.5

Problem 5 :

24 3/4

Solution : 

In  the given mixed number, the denominator is 4 which is convertible to 100 using multiplication by 25. 

So, we have 

24 3/4  =  24 (3 ⋅ 25)/(4 ⋅ 25)

24 3/4  =  24 75/100

24 3/4  =  24.75

Problem 6 :

5 2/3

Solution : 

In  the given mixed number, the denominator is 3 which is not convertible to 10 or 100 using multiplication.  

Now, we have to get the decimal form of the fraction 2/3 using long division method as explained above. 

When we do so, we get

2/3 ≈ 0.67

So, we have

5 2/3  ≈  5.67

Problem 7 :

7 3/8

Solution : 

In  the given mixed number, the denominator is 8 which is not convertible to 10 or 100 using multiplication.  

Now, we have to get the decimal form of the fraction 3/8 using long division method as explained above. 

When we do so, we get

3/8  =  0.375 

So, we have

7 3/8  =  7.375

Problem 8 :

27 5/6

Solution : 

In  the given mixed number, the denominator is 6 which is not convertible to 10 or 100 using multiplication.  

Now, we have to get the decimal form of the fraction 5/6 using long division method as explained above. 

When we do so, we get

5/6  ≈  0.83

27 5/6  ≈  27.83

Problem 9 :

13 4/9

Solution : 

In  the given mixed number, the denominator is 9 which is not convertible to 10 or 100 using multiplication.  

Now, we have to get the decimal form of the fraction 4/9 using long division method as explained above. 

When we do so, we get

4/9  ≈  0.44

So, we have

13 4/9  ≈  13.44

Problem 10 :

1 5/8

Solution : 

In  the given mixed number, the denominator is 8 which is not convertible to 10 or 100 using multiplication.  

Now, we have to get the decimal form of the fraction 5/8 using long division method as explained above. 

When we do so, we get

5/8  =  0.625

So, we have

1 5/8  =  1.625

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