68/138 as a decimal expansion provides the detailed information about what is 68/138 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
68/138 as a Decimal
68/138 = 0.4928
Hence,
68/138 as a decimal equals to 0.4928
where,
68/138 is a given fraction,
The decimal expansion of 68/138 is 0.4928
68/138 as a Mixed Number
The given fraction 68/138 can't be represented as a mixed number since the numerator 68 of the given fraction is smaller than the denominator 138.
The below work with steps provide the detailed information about how to convert fraction 68/138 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 68/138
What to be found:
Find the decimal expansion of fraction 68/138.
step 2 The numerator is smaller than the denominator of the fraction 68/138, 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 68/138.
= 68/138 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 68/138 x 1/100
= 6800/138 x 1/100
step 4 Simplify the above expression further:
= 6800/138 x 1/100
= 6762 + 38/138 x 1/100
= ( 6762/138 + 38/138) x 1/100
= (49 + 38/138 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 38/138 in the above expression:
= (49 + 38/138 ) x 1/100
= (49 + 0.275) x 1/100
step 6 Simplify the above expression further:
= (49 + 0.275) x 1/100
= 49.275 x 1/100
= 49.275/100
68/138= 0.49275
Hence,
68/138 as a decimal is 0.49275