102/63 as a Decimal and Mixed Number

102/63 as a decimal and mixed number expansion provides the detailed information about what is 102/63 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/63 as a Decimal
102/63 = 1.619
Hence,
102/63 as a decimal equals to 1.619
where,
102/63 is a given fraction,
The decimal expansion of 102/63 is 1.619

102/63 as a Mixed Number
102/63 = (63 + 39)/63
= 63/63 + 39/63
= 1 + 39/63
= 1 39/63
102/63 = 1 39/63

Hence,
102/63 as a mixed number is 1 ³⁹/₆₃
where,
102/63 is a given fraction,
1 ³⁹/₆₃ is the mixed number representation of 102/63.

The below work with steps provide the detailed information about how to convert fraction 102/63 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/63

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/63.

step 2 The numerator is greater than the denominator of the fraction 102/63, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/63
= 63 + 39/63

step 3 Make the above expression as individual fractions:
= 63/63 + 39/63

step 4 Simplify the above expression:
= 1 x 63/63 + 39/63
= 1 + 39/63
= 1 + 13 x 3/21 x 3
= 1 + 13/21
1 + 13/21 can be written as a mixed number 1 ¹³/₂₁.


step 5 Find the decimal equivalent for the fractional part 13/21 in the above expression:
= 1 + 0.619
= 1.619
102/63 = 1.619

Hence,
102/63 as a decimal is 1.619
102/63 as a mixed number is 1 ¹³/₂₁