95/72 as a decimal and mixed number expansion provides the detailed information about what is 95/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
95/72 as a Decimal Expansion
95/72 = 1.3194
Hence,
95/72 as a decimal equals to 1.3194
where,
95/72 is a given fraction,
The decimal expansion of 95/72 is 1.3194
95/72 as a Mixed Number
95/72 = (72 + 23)/72
= 72/72 + 23/72
= 1 + 23/72
= 1 23/72
95/72 = 1 23/72
Hence,
95/72 as a mixed number is 1 23/72
where,
95/72 is a given fraction,
1 23/72 is the mixed number representation of 95/72.
The below work with steps provide the detailed information about how to convert fraction 95/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 95/72
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 95/72.
step 2 The numerator is greater than the denominator of the fraction 95/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 95/72
= 72 + 23/72
step 3 Make the above expression as individual fractions:
= 72/72 + 23/72
step 4 Simplify the above expression:
= 1 x 72/72 + 23/72
= 1 + 23/72
1 + 23/72 can be written as a mixed number 1 23/72.
step 5 Find the decimal equivalent for the fractional part 23/72 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 23/72. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 23/72.
= 1 + (23/72 x 10/10)
step 6 Simplify the above expression further:
= 1 + (230/72 x 1/10)
= 1 + (216 + 14/72 x 1/10)
= 1 + [(216/72 + 14/72 ) x 1/10]
= 1 + [(3 + 14/72) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 14/72 in the above expression:
= 1 + [(3 + 14/72) x 1/10]
= 1 + [(3 + 0.19) x 1/10]
= 1 + (3.19 x 1/10)
= 1 + 3.19/10
= 1 + 0.319
step 8 Find the sum of above expression:
= 1 + 0.319
= 1.319
95/72 = 1.319
Hence,
95/72 as a decimal is 1.319
95/72 as a mixed number is 1 23/72