What is 3/8 as a decimal?

3/8 as a decimal is 0.375.

Watch Video Instructions

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 Practice

Question 1Convert the fraction

What is 3/8 written as a decimal?

Answer

0.375.

Divide 3 by 8.

Question 2Check with multiplication

How can you check the decimal value of 3/8?

Answer

Multiply 0.375 by 8; the result is 3.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 3/8?

Answer

37.5%.

Multiply the decimal 0.375 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 3/8 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.375.

Question 5Review: How to do the long division method?

What key idea does the article explain about “How to do the long division method?”?

Answer

To convert the fraction to decimal write the numbers in the long division with 3 as the dividend and 8 as the divisor.As 3 cannot be divided by 8, we can add 0 to 3 to make it 30 and add a decimal point in the quotient.Continue the division, if you get a remainder that is smaller than 8, you can add 0 to it to make it divisible by 8.Perform the division till you get the remainder 0 or till the remainder gets repeated.Here we have performed the division till we arrived at 0 as the remainder. As we cannot divide further, the answer would be the quotient we got from this division, 0.375.

How to do the long division method?

• To convert the fraction to decimal write the numbers in the long division with 3 as the dividend and 8 as the divisor.
• As 3 cannot be divided by 8, we can add 0 to 3 to make it 30 and add a decimal point in the quotient.
• Continue the division, if you get a remainder that is smaller than 8, you can add 0 to it to make it divisible by 8.
• Perform the division till you get the remainder 0 or till the remainder gets repeated.

Here we have performed the division till we arrived at 0 as the remainder. As we cannot divide further, the answer would be the quotient we got from this division, 0.375.

Remember

Here are some common terms you should be familiar with.

• In the fraction$$\frac38$$, the number 3 is the dividend (our numerator)
• The number 8 is our divisor (our denominator). 

You may be interested in what is 1/3 as a decimal fraction?

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