164/158 as a Decimal and Mixed Number

164/158 as a decimal and mixed number expansion provides the detailed information about what is 164/158 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/158 as a Decimal
164/158 = 1.038
Hence,
164/158 as a decimal equals to 1.038
where,
164/158 is a given fraction,
The decimal expansion of 164/158 is 1.038

164/158 as a Mixed Number
164/158 = (158 + 6)/158
= 158/158 + 6/158
= 1 + 6/158
= 1 6/158
164/158 = 1 6/158

Hence,
164/158 as a mixed number is 1 ⁶/₁₅₈
where,
164/158 is a given fraction,
1 ⁶/₁₅₈ is the mixed number representation of 164/158.

The below work with steps provide the detailed information about how to convert fraction 164/158 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/158

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/158.

step 2 The numerator is greater than the denominator of the fraction 164/158, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/158
= 158 + 6/158

step 3 Make the above expression as individual fractions:
= 158/158 + 6/158

step 4 Simplify the above expression:
= 1 x 158/158 + 6/158
= 1 + 6/158
= 1 + 3 x 2/79 x 2
= 1 + 3/79
1 + 3/79 can be written as a mixed number 1 ³/₇₉.


step 5 Find the decimal equivalent for the fractional part 3/79 in the above expression:
= 1 + 0.038
= 1.038
164/158 = 1.038

Hence,
164/158 as a decimal is 1.038
164/158 as a mixed number is 1 ³/₇₉