95/63 as a decimal and mixed number expansion provides the detailed information about what is 95/63 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
95/63 as a Decimal Expansion
95/63 = 1.5079
Hence,
95/63 as a decimal equals to 1.5079
where,
95/63 is a given fraction,
The decimal expansion of 95/63 is 1.5079
95/63 as a Mixed Number
95/63 = (63 + 32)/63
= 63/63 + 32/63
= 1 + 32/63
= 1 32/63
95/63 = 1 32/63
Hence,
95/63 as a mixed number is 1 32/63
where,
95/63 is a given fraction,
1 32/63 is the mixed number representation of 95/63.
The below work with steps provide the detailed information about how to convert fraction 95/63 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 95/63
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 95/63.
step 2 The numerator is greater than the denominator of the fraction 95/63, so write the given fraction in the expression form in terms of denominator as like the below:
= 95/63
= 63 + 32/63
step 3 Make the above expression as individual fractions:
= 63/63 + 32/63
step 4 Simplify the above expression:
= 1 x 63/63 + 32/63
= 1 + 32/63
1 + 32/63 can be written as a mixed number 1 32/63.
step 5 Find the decimal equivalent for the fractional part 32/63 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 32/63. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 32/63.
= 1 + (32/63 x 10/10)
step 6 Simplify the above expression further:
= 1 + (320/63 x 1/10)
= 1 + (315 + 5/63 x 1/10)
= 1 + [(315/63 + 5/63 ) x 1/10]
= 1 + [(5 + 5/63) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/63 in the above expression:
= 1 + [(5 + 5/63) x 1/10]
= 1 + [(5 + 0.08) x 1/10]
= 1 + (5.08 x 1/10)
= 1 + 5.08/10
= 1 + 0.508
step 8 Find the sum of above expression:
= 1 + 0.508
= 1.508
95/63 = 1.508
Hence,
95/63 as a decimal is 1.508
95/63 as a mixed number is 1 32/63