## 7/8 as a decimal is 0.875

## Want to practice?

In the fraction **7/8** , the number **7** is

- Numerator
- Denominator
- Decimal
- Fraction

- Numerator

In the fraction **7/8** , the number **8** is

- Numerator
- Denominator
- Decimal
- Fraction

- Denominator

What is the equivalent fraction to **7/8**?

- 7/16
- 14/16
- 14/24
- 7/24

- 14/16

What is the equivalent fraction to **7/8**?

- 21/24
- 7/16
- 7/24
- 14/24

- 21/24

## Solution

Work out the fraction

- a) With Long Division
- b) Without Long Division

**a) With Long Division**

The long division method is very simple. All the fractions can be written as a division expression.

The numerator is divided by the denominator to get the decimal value of a fraction. Here 7 is the numerator and 8 is the denominator.

To make 7 divisible by 8, add 0 to 7 to make it 70. Remember to place a decimal point in the quotient when this is done.

As we get the remainder 0 in the third step, we cannot divide further.

**The answer is 0.875.**

**b) Without long division**

The rule to directly convert a fraction to a decimal is

- The denominator should be a number with 1 followed by one or more zeros. Or the denominator should be a number that can be multiplied by a suitable number to make it 10, 100, 1000 etc.
- The number of zeros in the denominator is the number of digits the decimal point has to be shifted to the left in the numerator.

Here we have 8 in the denominator, to which 125 can be multiplied to get 1000. The same value should be multiplied by the numerator also as given below.

## Remember

Here are some common terms you should be familiar with.

- In the fraction
, the number 7 is the dividend ( our numerator)- The number 8 is our divisor (
our denominator).

## Find More Fractions to Decimals

Also, in our blog, you can know about what is 5 /6 as a decimal.

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