What is 3 eighths as a decimal

The below work with steps provide the detailed information about how to convert fraction 3/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 3/8

What to be found:
Find the decimal expansion of fraction 3/8.

step 2 The numerator is smaller than the denominator of the fraction 3/8, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 3/8.
= 3/8 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 3/8 x 1/10
= 30/8 x 1/10

step 4 Simplify the above expression further:
= 30/8 x 1/10
= 24 + 6/8 x 1/10
= ( 24/8 + 6/8) x 1/10
= (3 + 6/8 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 6/8 in the above expression:
= (3 + 6/8 ) x 1/10
= (3 + 0.75) x 1/10

step 6 Simplify the above expression further:
= (3 + 0.75) x 1/10
= 3.75 x 1/10
= 3.75/10
3/8= 0.375

Hence,
3/8 as a decimal is 0.375

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How to convert fraction to decimal

Method #1

Expand the denominator to be a power of 10.

Example #1

3/5 is expanded to 6/10 by multiplying the numerator by 2 and denominator by 2:

Example #2

3/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25:

Example #3

5/8 is expanded to 625/1000 by multiplying the numerator by 125 and denominator by 125:

Method #2

1. Use calculator to divide the fraction's numerator by the denominator.
2. For mixed numbers add the integer.

Example #1

2/5 = 2÷5 = 0.4

Example #2

1 2/5 = 1+2÷5 = 1.4

Method #3

Use long division to divide the fraction's numerator by the fraction's denominator.

Example

Calculate 3/4 by long division of 3 divided by 4:

Fraction to decimal conversion table

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See also

• How to convert fraction to decimal
• Decimal to fraction conversion
• Fraction to percent conversion
• Percent to decimal conversion
• Fractions calculator
• Simplifying fractions calculator
• Adding fractions calculator
• Subtracting fractions calculator
• Multiplying fractions calculator
• Dividing fractions calculator
• GCD calculator
• Fraction conversion
• Number conversion

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