159/84 as a Decimal and Mixed Number

159/84 as a decimal and mixed number expansion provides the detailed information about what is 159/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

159/84 as a Decimal
159/84 = 1.8929
Hence,
159/84 as a decimal equals to 1.8929
where,
159/84 is a given fraction,
The decimal expansion of 159/84 is 1.8929

159/84 as a Mixed Number
159/84 = (84 + 75)/84
= 84/84 + 75/84
= 1 + 75/84
= 1 75/84
159/84 = 1 75/84

Hence,
159/84 as a mixed number is 1 ⁷⁵/₈₄
where,
159/84 is a given fraction,
1 ⁷⁵/₈₄ is the mixed number representation of 159/84.

The below work with steps provide the detailed information about how to convert fraction 159/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 159/84

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 159/84.

step 2 The numerator is greater than the denominator of the fraction 159/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 159/84
= 84 + 75/84

step 3 Make the above expression as individual fractions:
= 84/84 + 75/84

step 4 Simplify the above expression:
= 1 x 84/84 + 75/84
= 1 + 75/84
= 1 + 25 x 3/28 x 3
= 1 + 25/28
1 + 25/28 can be written as a mixed number 1 ²⁵/₂₈.


step 5 Find the decimal equivalent for the fractional part 25/28 in the above expression:
= 1 + 0.8929
= 1.8929
159/84 = 1.8929

Hence,
159/84 as a decimal is 1.8929
159/84 as a mixed number is 1 ²⁵/₂₈