23/42 as a Decimal
23/42 as a decimal expansion provides the detailed information about what is 23/42 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
23/42 as a Decimal Expansion
23/42 = 0.5476
Hence,
23/42 as a decimal equals to 0.5476
where,
23/42 is a given fraction,
The decimal expansion of 23/42 is 0.5476
23/42 as a Mixed Number
The given fraction 23/42 can't be represented as a mixed number since the numerator 23 of the given fraction is smaller than the denominator 42.
How-to: 23/42 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 23/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 23/42
What to be found:
Find the decimal expansion of fraction 23/42.
step 2 The numerator is smaller than the denominator of the fraction 23/42, 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 23/42.
= 23/42 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 23/42 x 1/10
= 230/42 x 1/10
step 4 Simplify the above expression further:
= 230/42 x 1/10
= 210 + 20/42 x 1/10
= ( 210/42 + 20/42) x 1/10
= (5 + 20/42 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 20/42 in the above expression:
= (5 + 20/42 ) x 1/10
= (5 + 0.476) x 1/10
step 6 Simplify the above expression further:
= (5 + 0.476) x 1/10
= 5.476 x 1/10
= 5.476/10
23/42= 0.5476
Hence,
23/42 as a decimal is 0.5476
