62/85 as a decimal expansion provides the detailed information about what is 62/85 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
62/85 as a Decimal
62/85 = 0.7294
Hence,
62/85 as a decimal equals to 0.7294
where,
62/85 is a given fraction,
The decimal expansion of 62/85 is 0.7294
62/85 as a Mixed Number
The given fraction 62/85 can't be represented as a mixed number since the numerator 62 of the given fraction is smaller than the denominator 85.
The below work with steps provide the detailed information about how to convert fraction 62/85 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 62/85
What to be found:
Find the decimal expansion of fraction 62/85.
step 2 The numerator is smaller than the denominator of the fraction 62/85, 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 62/85.
= 62/85 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 62/85 x 1/10
= 620/85 x 1/10
step 4 Simplify the above expression further:
= 620/85 x 1/10
= 595 + 25/85 x 1/10
= ( 595/85 + 25/85) x 1/10
= (7 + 25/85 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 25/85 in the above expression:
= (7 + 25/85 ) x 1/10
= (7 + 0.294) x 1/10
step 6 Simplify the above expression further:
= (7 + 0.294) x 1/10
= 7.294 x 1/10
= 7.294/10
62/85= 0.7294
Hence,
62/85 as a decimal is 0.7294