42/78 as a Decimal

42/78 as a decimal expansion provides the detailed information about what is 42/78 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

42/78 as a Decimal
42/78 = 0.5385
Hence,
42/78 as a decimal equals to 0.5385
where,
42/78 is a given fraction,
The decimal expansion of 42/78 is 0.5385

42/78 as a Mixed Number
The given fraction 42/78 can't be represented as a mixed number since the numerator 42 of the given fraction is smaller than the denominator 78.

The below work with steps provide the detailed information about how to convert fraction 42/78 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 42/78

What to be found:
Find the decimal expansion of fraction 42/78.

step 2 The numerator is smaller than the denominator of the fraction 42/78, 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 42/78.
= 42/78 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 42/78 x 1/10
= 420/78 x 1/10

step 4 Simplify the above expression further:
= 420/78 x 1/10
= 390 + 30/78 x 1/10
= ( 390/78 + 30/78) x 1/10
= (5 + 30/78 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 30/78 in the above expression:
= (5 + 30/78 ) x 1/10
= (5 + 0.385) x 1/10

step 6 Simplify the above expression further:
= (5 + 0.385) x 1/10
= 5.385 x 1/10
= 5.385/10
42/78= 0.5385

Hence,
42/78 as a decimal is 0.5385