2/77 as a decimal expansion provides the detailed information about what is 2/77 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
2/77 as a Decimal Expansion
2/77 = 0.026
Hence,
2/77 as a decimal equals to 0.026
where,
2/77 is a given fraction,
The decimal expansion of 2/77 is 0.026
2/77 as a Mixed Number
The given fraction 2/77 can't be represented as a mixed number since the numerator 2 of the given fraction is smaller than the denominator 77.
The below work with steps provide the detailed information about how to convert fraction 2/77 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 2/77
What to be found:
Find the decimal expansion of fraction 2/77.
step 2 The numerator is smaller than the denominator of the fraction 2/77, 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 2/77.
= 2/77 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 2/77 x 1/100
= 200/77 x 1/100
step 4 Simplify the above expression further:
= 200/77 x 1/100
= 154 + 46/77 x 1/100
= ( 154/77 + 46/77) x 1/100
= (2 + 46/77 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 46/77 in the above expression:
= (2 + 46/77 ) x 1/100
= (2 + 0.597) x 1/100
step 6 Simplify the above expression further:
= (2 + 0.597) x 1/100
= 2.597 x 1/100
= 2.597/100
2/77= 0.02597
Hence,
2/77 as a decimal is 0.02597