63/357 as a decimal expansion provides the detailed information about what is 63/357 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
63/357 as a Decimal
63/357 = 0.1765
Hence,
63/357 as a decimal equals to 0.1765
where,
63/357 is a given fraction,
The decimal expansion of 63/357 is 0.1765
63/357 as a Mixed Number
The given fraction 63/357 can't be represented as a mixed number since the numerator 63 of the given fraction is smaller than the denominator 357.
The below work with steps provide the detailed information about how to convert fraction 63/357 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 63/357
What to be found:
Find the decimal expansion of fraction 63/357.
step 2 The numerator is smaller than the denominator of the fraction 63/357, 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 63/357.
= 63/357 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 63/357 x 1/100
= 6300/357 x 1/100
step 4 Simplify the above expression further:
= 6300/357 x 1/100
= 6069 + 231/357 x 1/100
= ( 6069/357 + 231/357) x 1/100
= (17 + 231/357 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 231/357 in the above expression:
= (17 + 231/357 ) x 1/100
= (17 + 0.647) x 1/100
step 6 Simplify the above expression further:
= (17 + 0.647) x 1/100
= 17.647 x 1/100
= 17.647/100
63/357= 0.17647
Hence,
63/357 as a decimal is 0.17647