59/63 as a decimal expansion provides the detailed information about what is 59/63 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
59/63 as a Decimal Expansion
59/63 = 0.9365
Hence,
59/63 as a decimal equals to 0.9365
where,
59/63 is a given fraction,
The decimal expansion of 59/63 is 0.9365
59/63 as a Mixed Number
The given fraction 59/63 can't be represented as a mixed number since the numerator 59 of the given fraction is smaller than the denominator 63.
The below work with steps provide the detailed information about how to convert fraction 59/63 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 59/63
What to be found:
Find the decimal expansion of fraction 59/63.
step 2 The numerator is smaller than the denominator of the fraction 59/63, 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 59/63.
= 59/63 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 59/63 x 1/10
= 590/63 x 1/10
step 4 Simplify the above expression further:
= 590/63 x 1/10
= 567 + 23/63 x 1/10
= ( 567/63 + 23/63) x 1/10
= (9 + 23/63 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 23/63 in the above expression:
= (9 + 23/63 ) x 1/10
= (9 + 0.365) x 1/10
step 6 Simplify the above expression further:
= (9 + 0.365) x 1/10
= 9.365 x 1/10
= 9.365/10
59/63= 0.9365
Hence,
59/63 as a decimal is 0.9365