120/86 as a Decimal and Mixed Number

120/86 as a decimal and mixed number expansion provides the detailed information about what is 120/86 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

120/86 as a Decimal
120/86 = 1.3953
Hence,
120/86 as a decimal equals to 1.3953
where,
120/86 is a given fraction,
The decimal expansion of 120/86 is 1.3953

120/86 as a Mixed Number
120/86 = (86 + 34)/86
= 86/86 + 34/86
= 1 + 34/86
= 1 34/86
120/86 = 1 34/86

Hence,
120/86 as a mixed number is 1 ³⁴/₈₆
where,
120/86 is a given fraction,
1 ³⁴/₈₆ is the mixed number representation of 120/86.

The below work with steps provide the detailed information about how to convert fraction 120/86 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/86

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/86.

step 2 The numerator is greater than the denominator of the fraction 120/86, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/86
= 86 + 34/86

step 3 Make the above expression as individual fractions:
= 86/86 + 34/86

step 4 Simplify the above expression:
= 1 x 86/86 + 34/86
= 1 + 34/86
= 1 + 17 x 2/43 x 2
= 1 + 17/43
1 + 17/43 can be written as a mixed number 1 ¹⁷/₄₃.


step 5 Find the decimal equivalent for the fractional part 17/43 in the above expression:
= 1 + 0.3953
= 1.3953
120/86 = 1.3953

Hence,
120/86 as a decimal is 1.3953
120/86 as a mixed number is 1 ¹⁷/₄₃