158/84 as a Decimal and Mixed Number

158/84 as a decimal and mixed number expansion provides the detailed information about what is 158/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

158/84 as a Decimal
158/84 = 1.881
Hence,
158/84 as a decimal equals to 1.881
where,
158/84 is a given fraction,
The decimal expansion of 158/84 is 1.881

158/84 as a Mixed Number
158/84 = (84 + 74)/84
= 84/84 + 74/84
= 1 + 74/84
= 1 74/84
158/84 = 1 74/84

Hence,
158/84 as a mixed number is 1 ⁷⁴/₈₄
where,
158/84 is a given fraction,
1 ⁷⁴/₈₄ is the mixed number representation of 158/84.

The below work with steps provide the detailed information about how to convert fraction 158/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 158/84

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 158/84.

step 2 The numerator is greater than the denominator of the fraction 158/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 158/84
= 84 + 74/84

step 3 Make the above expression as individual fractions:
= 84/84 + 74/84

step 4 Simplify the above expression:
= 1 x 84/84 + 74/84
= 1 + 74/84
= 1 + 37 x 2/42 x 2
= 1 + 37/42
1 + 37/42 can be written as a mixed number 1 ³⁷/₄₂.


step 5 Find the decimal equivalent for the fractional part 37/42 in the above expression:
= 1 + 0.881
= 1.881
158/84 = 1.881

Hence,
158/84 as a decimal is 1.881
158/84 as a mixed number is 1 ³⁷/₄₂