160/152 as a Decimal and Mixed Number

160/152 as a decimal and mixed number expansion provides the detailed information about what is 160/152 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/152 as a Decimal
160/152 = 1.0526
Hence,
160/152 as a decimal equals to 1.0526
where,
160/152 is a given fraction,
The decimal expansion of 160/152 is 1.0526

160/152 as a Mixed Number
160/152 = (152 + 8)/152
= 152/152 + 8/152
= 1 + 8/152
= 1 8/152
160/152 = 1 8/152

Hence,
160/152 as a mixed number is 1 ⁸/₁₅₂
where,
160/152 is a given fraction,
1 ⁸/₁₅₂ is the mixed number representation of 160/152.

The below work with steps provide the detailed information about how to convert fraction 160/152 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/152

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/152.

step 2 The numerator is greater than the denominator of the fraction 160/152, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/152
= 152 + 8/152

step 3 Make the above expression as individual fractions:
= 152/152 + 8/152

step 4 Simplify the above expression:
= 1 x 152/152 + 8/152
= 1 + 8/152
= 1 + 1 x 8/19 x 8
= 1 + 1/19
1 + 1/19 can be written as a mixed number 1 ¹/₁₉.


step 5 Find the decimal equivalent for the fractional part 1/19 in the above expression:
= 1 + 0.0526
= 1.0526
160/152 = 1.0526

Hence,
160/152 as a decimal is 1.0526
160/152 as a mixed number is 1 ¹/₁₉