120/83 as a Decimal and Mixed Number

120/83 as a decimal and mixed number expansion provides the detailed information about what is 120/83 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

120/83 as a Decimal
120/83 = 1.4458
Hence,
120/83 as a decimal equals to 1.4458
where,
120/83 is a given fraction,
The decimal expansion of 120/83 is 1.4458

120/83 as a Mixed Number
120/83 = (83 + 37)/83
= 83/83 + 37/83
= 1 + 37/83
= 1 37/83
120/83 = 1 37/83

Hence,
120/83 as a mixed number is 1 ³⁷/₈₃
where,
120/83 is a given fraction,
1 ³⁷/₈₃ is the mixed number representation of 120/83.

The below work with steps provide the detailed information about how to convert fraction 120/83 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/83

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/83.

step 2 The numerator is greater than the denominator of the fraction 120/83, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/83
= 83 + 37/83

step 3 Make the above expression as individual fractions:
= 83/83 + 37/83

step 4 Simplify the above expression:
= 1 x 83/83 + 37/83
= 1 + 37/83
1 + 37/83 can be written as a mixed number 1 ³⁷/₈₃.


step 5 Find the decimal equivalent for the fractional part 37/83 in the above expression:
= 1 + 0.4458
= 1.4458
120/83 = 1.4458

Hence,
120/83 as a decimal is 1.4458
120/83 as a mixed number is 1 ³⁷/₈₃