86/72 as a Decimal and Mixed Number

86/72 as a decimal and mixed number expansion provides the detailed information about what is 86/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

86/72 as a Decimal
86/72 = 1.1944
Hence,
86/72 as a decimal equals to 1.1944
where,
86/72 is a given fraction,
The decimal expansion of 86/72 is 1.1944

86/72 as a Mixed Number
86/72 = (72 + 14)/72
= 72/72 + 14/72
= 1 + 14/72
= 1 14/72
86/72 = 1 14/72

Hence,
86/72 as a mixed number is 1 ¹⁴/₇₂
where,
86/72 is a given fraction,
1 ¹⁴/₇₂ is the mixed number representation of 86/72.

The below work with steps provide the detailed information about how to convert fraction 86/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 86/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 86/72.

step 2 The numerator is greater than the denominator of the fraction 86/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 86/72
= 72 + 14/72

step 3 Make the above expression as individual fractions:
= 72/72 + 14/72

step 4 Simplify the above expression:
= 1 x 72/72 + 14/72
= 1 + 14/72
= 1 + 7 x 2/36 x 2
= 1 + 7/36
1 + 7/36 can be written as a mixed number 1 ⁷/₃₆.


step 5 Find the decimal equivalent for the fractional part 7/36 in the above expression:
= 1 + 0.1944
= 1.1944
86/72 = 1.1944

Hence,
86/72 as a decimal is 1.1944
86/72 as a mixed number is 1 ⁷/₃₆