CONVERTING FRACTIONS AND MIXED NUMBERS TO DECIMALS

Converting fractions or mixed numbers into decimal will be very simple, if we find the denominators 2 or multiple of 2.

By multiplying 2 or multiple of 2 by the following, we can make the denominators as 10n

2 x 50 = 100

4 x 25 = 100

8 x 125 = 1000

16 x 625 = 1000

Change the following fractions and mixed numbers to decimal numbers. Round answers to the nearest thousandth, if necessary.

Problem 1 :

1/8

Solution :

In the given fraction, the numerator and denominator is multiplied by 125.

The denominator will come 10n.

1/8 = 0.125

Problem 2 :

2/7

Solution :

In the given fraction, the denominator is 7.

We cannot make 7 as 10n.

So, we have use long division only.

We can convert the fraction into the decimal.

2/7 = 0.2857

2/7 = 0.286

Problem 3 :

Solution :

In the given mixed number, the denominator is 6.

We cannot make 6 as 10n.

So, we have use long division only.

We can convert the fraction into the decimal.

1/6 = 0.1666

1/6 = 0.167

2 1/6 = 2.167

Problem 4 :

3/16

Solution :

In the given fraction, the numerator and denominator is multiplied by 625.

The denominator will come 10n.

3/16 = 0.188

Problem 5 :

3/4

Solution :`

In the given fraction, the numerator and denominator is multiplied by 125.

The denominator will come 10n.

Problem 6 :

5/10

Solution :`

In the given fraction, the denominator is 10.

So, we have

5/10 = 0.5

Problem 7 :

Solution :`

In the given mixed number, the numerator and denominator is multiplied by 125.

The denominator will come 10n.

Problem 8 :

Solution :

In the given mixed number, the denominator is 15.

We cannot make 15 as 10n.

So, we have use long division only.

We can convert the fraction into the decimal.

10/15 = 0.6666

10/15 = 0.667

8 10/15 = 8.667

Problem 9 :

5/8

Solution :

In the given fraction, the numerator and denominator is multiplied by 125.

The denominator will come 10n.

5/8 = 0.625

Problem 10 :

2/3

Solution :

In the given fraction, the denominator is 3.

We cannot make 3 as 10n.

So, we have use long division only.

We can convert the fraction into the decimal.

2/3 = 0.6666

2/3 = 0.667

Problem 11 :

Solution :`

In the given mixed number, the numerator and denominator is multiplied by 625.

The denominator will come 10n.

5 1/16 = 5.063

Problem 12 :

Solution :`

In the given mixed number, the numerator and denominator is multiplied by 2.

The denominator will come 10n.

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