7/8 as a decimal is 0.875
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[question item="1"] [question item="2"] [question item="3"] [question item="4"]Solution
Work out the fraction $$\frac78$$ using the following methods to write it as a decimal.
- a) With Long Division
- b) Without Long Division
With Long Division
The long division method is very simple. All the fractions can be written as a division expression.
$$\frac78=7\div8$$
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.
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.
$$\frac{\mathbf7\boldsymbol\times\mathbf{125}}{\mathbf8\boldsymbol\times\mathbf{125}}\boldsymbol=\frac{\mathbf{875}}{\mathbf{1000}}\boldsymbol=\mathbf0\boldsymbol.\mathbf{875}$$
Remember
Here are some common terms you should be familiar with.
- In the fraction$$ \frac{7}{8}$$, 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.
