# 7/15 as a Decimal 7/15 as a decimal expansion provides the detailed information about what is 7/15 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

7/15 as a Decimal Expansion
7/15 = 0.4667
Hence,
7/15 as a decimal equals to 0.4667
where,
7/15 is a given fraction,
The decimal expansion of 7/15 is 0.4667

7/15 as a Mixed Number
The given fraction 7/15 can't be represented as a mixed number since the numerator 7 of the given fraction is smaller than the denominator 15.

For values other than 7/15, use this below tool:

## How-to: 7/15 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 7/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 7/15

What to be found:
Find the decimal expansion of fraction 7/15.

step 2 The numerator is smaller than the denominator of the fraction 7/15, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 7/15.
= 7/15 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 7/15 x 1/100
= 700/15 x 1/100

step 4 Simplify the above expression further:
= 700/15 x 1/100
= 690 + 10/15 x 1/100
= ( 690/15 + 10/15) x 1/100
= (46 + 10/15 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 10/15 in the above expression:
= (46 + 10/15 ) x 1/100
= (46 + 0.667) x 1/100

step 6 Simplify the above expression further:
= (46 + 0.667) x 1/100
= 46.667 x 1/100
= 46.667/100
7/15= 0.46667

Hence,
7/15 as a decimal is 0.46667 