What is 7/8 as a decimal?

7/8 as a decimal is 0.875

Want to practice?

Question 1Convert the fraction

What is 7/8 written as a decimal?

Answer

0.875.

Divide 7 by 8.

Question 2Check with multiplication

How can you check the decimal value of 7/8?

Answer

Multiply 0.875 by 8; the result is 7.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 7/8?

Answer

87.5%.

Multiply the decimal 0.875 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 7/8 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.875.

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

1/1 = 1	1/8 = 0.125	3/4 = 0.75	7/9 = 0.7	11/16 = 0.6875	8/9 = 0.8	7/8 = 0.875	4/5 = 0.8
1/2 = 0.5	1/9 = 0.1	2/5 = 0.4	3/10 = 0.3	15/32 = 0.4687	7/10 = 0.7	5/9 = 0.5	4/7 = 0.571
1/3 = 0.3	1/10 = 0.1	5/6 = 0.83	2/11 = 0.18	3/5 = 0.6	3/11 = 0.27	9/10 = 0.9
1/4 = 0.25	1/11 = 0.09	2/7 = 0.28571	5/11 = 0.45	3/7 = 0.428571	6/11 = 0.54	4/11 = 0.36
1/5 = 0.2	1/12 = 0.083	5/7 = 0.71428	8/11 = 0.72	6/7 = 0.85714	7/12 = 0.583	7/16 = 0.4375
1/6 = 0.16	1/16 = 0.0625	3/8 = 0.375	5/12 = 0.416	5/8 = 0.625	5/16 = 0.3125	15/16 = 0.9375
1/7 = 0.142857	2/3 = 0.6	2/9 = 0.2	3/16 = 0.1875	4/9 = 0.4	13/16 = 0.8125	19/32 = 0.5937

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