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
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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