172/158 as a Decimal and Mixed Number

172/158 as a decimal and mixed number expansion provides the detailed information about what is 172/158 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

172/158 as a Decimal
172/158 = 1.0886
Hence,
172/158 as a decimal equals to 1.0886
where,
172/158 is a given fraction,
The decimal expansion of 172/158 is 1.0886

172/158 as a Mixed Number
172/158 = (158 + 14)/158
= 158/158 + 14/158
= 1 + 14/158
= 1 14/158
172/158 = 1 14/158

Hence,
172/158 as a mixed number is 1 ¹⁴/₁₅₈
where,
172/158 is a given fraction,
1 ¹⁴/₁₅₈ is the mixed number representation of 172/158.

The below work with steps provide the detailed information about how to convert fraction 172/158 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 172/158

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 172/158.

step 2 The numerator is greater than the denominator of the fraction 172/158, so write the given fraction in the expression form in terms of denominator as like the below:
= 172/158
= 158 + 14/158

step 3 Make the above expression as individual fractions:
= 158/158 + 14/158

step 4 Simplify the above expression:
= 1 x 158/158 + 14/158
= 1 + 14/158
= 1 + 7 x 2/79 x 2
= 1 + 7/79
1 + 7/79 can be written as a mixed number 1 ⁷/₇₉.


step 5 Find the decimal equivalent for the fractional part 7/79 in the above expression:
= 1 + 0.0886
= 1.0886
172/158 = 1.0886

Hence,
172/158 as a decimal is 1.0886
172/158 as a mixed number is 1 ⁷/₇₉