CONVERTING MIXED FRACTIONS TO DECIMALS WORKSHEET

Converting Mixed Fractions to Decimals Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on converting mixed fractions to decimals.

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Converting Mixed Fractions to Decimals Worksheet - Problems

Problem 1 :

Covert the following mixed fraction to decimal.

3 3/20

Problem 2 :

Covert the following mixed fraction to decimal.

5 7/10

Problem 3 :

Covert the following mixed fraction to decimal.

9 3/50

Problem 4 :

Covert the given mixed fraction into decimal.

9 1/2

Problem 5 :

Covert the following mixed fraction to decimal.

24 3/4

Problem 6 :

Covert the following mixed fraction to decimal.

5 2/3

Problem 7 :

Covert the following mixed fraction to decimal.

7 3/8

Problem 8 :

Covert the following mixed fraction to decimal.

27 5/6

Problem 9 :

Covert the following mixed fraction to decimal.

13 4/9

Problem 10 :

Covert the given mixed fraction into decimal

1 5/8

Converting Mixed Fractions to Decimals Worksheet - Problems

Problem 1 :

Covert the following mixed fraction to decimal.

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 :

Covert the following mixed fraction to decimal.

5 7/10

Solution : 

In  the given mixed number, the denominator is 10. 

So, we have 

5 7/10  =  5.7 

Problem 3 :

Covert the following mixed fraction to decimal.

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 :

Covert the given mixed fraction into decimal.

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 :

Covert the following mixed fraction to decimal.

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 :

Covert the following mixed fraction to decimal.

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 :

Covert the following mixed fraction to decimal.

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 :

Covert the following mixed fraction to decimal.

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 :

Covert the following mixed fraction to decimal.

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 :

Covert the given mixed fraction into decimal

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

After having gone through the stuff given above, we hope that the students would have understood, how to convert mixed fractions to decimals.   

Apart from the stuff given in this section, please use our google custom search here.

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