4/49 as a Decimal
4/49 as a decimal expansion provides the detailed information about what is 4/49 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
4/49 as a Decimal Expansion
4/49 = 0.0816
Hence,
4/49 as a decimal equals to 0.0816
where,
4/49 is a given fraction,
The decimal expansion of 4/49 is 0.0816
4/49 as a Mixed Number
The given fraction 4/49 can't be represented as a mixed number since the numerator 4 of the given fraction is smaller than the denominator 49.
How-to: 4/49 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 4/49 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 4/49
What to be found:
Find the decimal expansion of fraction 4/49.
step 2 The numerator is smaller than the denominator of the fraction 4/49, 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 4/49.
= 4/49 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 4/49 x 1/100
= 400/49 x 1/100
step 4 Simplify the above expression further:
= 400/49 x 1/100
= 392 + 8/49 x 1/100
= ( 392/49 + 8/49) x 1/100
= (8 + 8/49 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 8/49 in the above expression:
= (8 + 8/49 ) x 1/100
= (8 + 0.163) x 1/100
step 6 Simplify the above expression further:
= (8 + 0.163) x 1/100
= 8.163 x 1/100
= 8.163/100
4/49= 0.08163
Hence,
4/49 as a decimal is 0.08163
