162/152 as a Decimal and Mixed Number

162/152 as a decimal and mixed number expansion provides the detailed information about what is 162/152 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

162/152 as a Decimal
162/152 = 1.0658
Hence,
162/152 as a decimal equals to 1.0658
where,
162/152 is a given fraction,
The decimal expansion of 162/152 is 1.0658

162/152 as a Mixed Number
162/152 = (152 + 10)/152
= 152/152 + 10/152
= 1 + 10/152
= 1 10/152
162/152 = 1 10/152

Hence,
162/152 as a mixed number is 1 ¹⁰/₁₅₂
where,
162/152 is a given fraction,
1 ¹⁰/₁₅₂ is the mixed number representation of 162/152.

The below work with steps provide the detailed information about how to convert fraction 162/152 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 162/152

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 162/152.

step 2 The numerator is greater than the denominator of the fraction 162/152, so write the given fraction in the expression form in terms of denominator as like the below:
= 162/152
= 152 + 10/152

step 3 Make the above expression as individual fractions:
= 152/152 + 10/152

step 4 Simplify the above expression:
= 1 x 152/152 + 10/152
= 1 + 10/152
= 1 + 5 x 2/76 x 2
= 1 + 5/76
1 + 5/76 can be written as a mixed number 1 ⁵/₇₆.


step 5 Find the decimal equivalent for the fractional part 5/76 in the above expression:
= 1 + 0.0658
= 1.0658
162/152 = 1.0658

Hence,
162/152 as a decimal is 1.0658
162/152 as a mixed number is 1 ⁵/₇₆