What is 5/8 as a decimal?

5/8 as a decimal is 0.625

Want to practice?

Question 1Convert the fraction

What is 5/8 written as a decimal?

Answer

0.625.

Divide 5 by 8.

Question 2Check with multiplication

How can you check the decimal value of 5/8?

Answer

Multiply 0.625 by 8; the result is 5.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 5/8?

Answer

62.5%.

Multiply the decimal 0.625 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 5/8 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.625.

Solution

• Observe that the fraction is converted to its decimal form on the other side.
• The number on the top of the fraction is called the numerator and the number at the bottom is the denominator.
• Divide the numerator by the denominator using the long division method.

Steps for division

• Write the numerator 5 as the dividend and the denominator 8 as the divisor.
• Since 8  > 5, place a decimal point in the quotient and add 0 to make it 50.
• 8 divides 50 six times to give 48.
• Subtract 48 from 50 to get the remainder 2.
• As we have already added the decimal point, we can add 0 to 2 to make it 20.
• 8 divides 20 two times to give 16.
• Subtract 16 from 20 to get the remainder 4.
• Add 0 again to make it 40.
• 8 divides 40 five times to give 40.
• Subtract 40 from 40 to get the remainder 0.

Hence the solution is 0.625.

Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac58$$, the number 5 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

You are interesting, what is 1/7 as a decimal fraction?