160/102 as a Decimal and Mixed Number

160/102 as a decimal and mixed number expansion provides the detailed information about what is 160/102 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/102 as a Decimal
160/102 = 1.5686
Hence,
160/102 as a decimal equals to 1.5686
where,
160/102 is a given fraction,
The decimal expansion of 160/102 is 1.5686

160/102 as a Mixed Number
160/102 = (102 + 58)/102
= 102/102 + 58/102
= 1 + 58/102
= 1 58/102
160/102 = 1 58/102

Hence,
160/102 as a mixed number is 1 ⁵⁸/₁₀₂
where,
160/102 is a given fraction,
1 ⁵⁸/₁₀₂ is the mixed number representation of 160/102.

The below work with steps provide the detailed information about how to convert fraction 160/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/102

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/102.

step 2 The numerator is greater than the denominator of the fraction 160/102, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/102
= 102 + 58/102

step 3 Make the above expression as individual fractions:
= 102/102 + 58/102

step 4 Simplify the above expression:
= 1 x 102/102 + 58/102
= 1 + 58/102
= 1 + 29 x 2/51 x 2
= 1 + 29/51
1 + 29/51 can be written as a mixed number 1 ²⁹/₅₁.


step 5 Find the decimal equivalent for the fractional part 29/51 in the above expression:
= 1 + 0.5686
= 1.5686
160/102 = 1.5686

Hence,
160/102 as a decimal is 1.5686
160/102 as a mixed number is 1 ²⁹/₅₁