138/320 as a Decimal

138/320 as a decimal expansion provides the detailed information about what is 138/320 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

138/320 as a Decimal
138/320 = 0.4313
Hence,
138/320 as a decimal equals to 0.4313
where,
138/320 is a given fraction,
The decimal expansion of 138/320 is 0.4313

138/320 as a Mixed Number
The given fraction 138/320 can't be represented as a mixed number since the numerator 138 of the given fraction is smaller than the denominator 320.

The below work with steps provide the detailed information about how to convert fraction 138/320 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/320

What to be found:
Find the decimal expansion of fraction 138/320.

step 2 The numerator is smaller than the denominator of the fraction 138/320, 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 138/320.
= 138/320 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 138/320 x 1/10
= 1380/320 x 1/10

step 4 Simplify the above expression further:
= 1380/320 x 1/10
= 1280 + 100/320 x 1/10
= ( 1280/320 + 100/320) x 1/10
= (4 + 100/320 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 100/320 in the above expression:
= (4 + 100/320 ) x 1/10
= (4 + 0.313) x 1/10

step 6 Simplify the above expression further:
= (4 + 0.313) x 1/10
= 4.313 x 1/10
= 4.313/10
138/320= 0.4313

Hence,
138/320 as a decimal is 0.4313