158/116 as a Decimal and Mixed Number

158/116 as a decimal and mixed number expansion provides the detailed information about what is 158/116 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

158/116 as a Decimal
158/116 = 1.3621
Hence,
158/116 as a decimal equals to 1.3621
where,
158/116 is a given fraction,
The decimal expansion of 158/116 is 1.3621

158/116 as a Mixed Number
158/116 = (116 + 42)/116
= 116/116 + 42/116
= 1 + 42/116
= 1 42/116
158/116 = 1 42/116

Hence,
158/116 as a mixed number is 1 ⁴²/₁₁₆
where,
158/116 is a given fraction,
1 ⁴²/₁₁₆ is the mixed number representation of 158/116.

The below work with steps provide the detailed information about how to convert fraction 158/116 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 158/116

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 158/116.

step 2 The numerator is greater than the denominator of the fraction 158/116, so write the given fraction in the expression form in terms of denominator as like the below:
= 158/116
= 116 + 42/116

step 3 Make the above expression as individual fractions:
= 116/116 + 42/116

step 4 Simplify the above expression:
= 1 x 116/116 + 42/116
= 1 + 42/116
= 1 + 21 x 2/58 x 2
= 1 + 21/58
1 + 21/58 can be written as a mixed number 1 ²¹/₅₈.


step 5 Find the decimal equivalent for the fractional part 21/58 in the above expression:
= 1 + 0.3621
= 1.3621
158/116 = 1.3621

Hence,
158/116 as a decimal is 1.3621
158/116 as a mixed number is 1 ²¹/₅₈