160/84 as a Decimal and Mixed Number

160/84 as a decimal and mixed number expansion provides the detailed information about what is 160/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/84 as a Decimal
160/84 = 1.9048
Hence,
160/84 as a decimal equals to 1.9048
where,
160/84 is a given fraction,
The decimal expansion of 160/84 is 1.9048

160/84 as a Mixed Number
160/84 = (84 + 76)/84
= 84/84 + 76/84
= 1 + 76/84
= 1 76/84
160/84 = 1 76/84

Hence,
160/84 as a mixed number is 1 ⁷⁶/₈₄
where,
160/84 is a given fraction,
1 ⁷⁶/₈₄ is the mixed number representation of 160/84.

The below work with steps provide the detailed information about how to convert fraction 160/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/84

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/84.

step 2 The numerator is greater than the denominator of the fraction 160/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/84
= 84 + 76/84

step 3 Make the above expression as individual fractions:
= 84/84 + 76/84

step 4 Simplify the above expression:
= 1 x 84/84 + 76/84
= 1 + 76/84
= 1 + 19 x 4/21 x 4
= 1 + 19/21
1 + 19/21 can be written as a mixed number 1 ¹⁹/₂₁.


step 5 Find the decimal equivalent for the fractional part 19/21 in the above expression:
= 1 + 0.9048
= 1.9048
160/84 = 1.9048

Hence,
160/84 as a decimal is 1.9048
160/84 as a mixed number is 1 ¹⁹/₂₁