69/77 as a decimal expansion provides the detailed information about what is 69/77 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
69/77 as a Decimal Expansion
69/77 = 0.8961
Hence,
69/77 as a decimal equals to 0.8961
where,
69/77 is a given fraction,
The decimal expansion of 69/77 is 0.8961
69/77 as a Mixed Number
The given fraction 69/77 can't be represented as a mixed number since the numerator 69 of the given fraction is smaller than the denominator 77.
The below work with steps provide the detailed information about how to convert fraction 69/77 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 69/77
What to be found:
Find the decimal expansion of fraction 69/77.
step 2 The numerator is smaller than the denominator of the fraction 69/77, 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 69/77.
= 69/77 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 69/77 x 1/10
= 690/77 x 1/10
step 4 Simplify the above expression further:
= 690/77 x 1/10
= 616 + 74/77 x 1/10
= ( 616/77 + 74/77) x 1/10
= (8 + 74/77 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 74/77 in the above expression:
= (8 + 74/77 ) x 1/10
= (8 + 0.961) x 1/10
step 6 Simplify the above expression further:
= (8 + 0.961) x 1/10
= 8.961 x 1/10
= 8.961/10
69/77= 0.8961
Hence,
69/77 as a decimal is 0.8961