358/298 as a Decimal and Mixed Number

358/298 as a decimal and mixed number expansion provides the detailed information about what is 358/298 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

358/298 as a Decimal
358/298 = 1.2013
Hence,
358/298 as a decimal equals to 1.2013
where,
358/298 is a given fraction,
The decimal expansion of 358/298 is 1.2013

358/298 as a Mixed Number
358/298 = (298 + 60)/298
= 298/298 + 60/298
= 1 + 60/298
= 1 60/298
358/298 = 1 60/298

Hence,
358/298 as a mixed number is 1 ⁶⁰/₂₉₈
where,
358/298 is a given fraction,
1 ⁶⁰/₂₉₈ is the mixed number representation of 358/298.

The below work with steps provide the detailed information about how to convert fraction 358/298 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 358/298

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 358/298.

step 2 The numerator is greater than the denominator of the fraction 358/298, so write the given fraction in the expression form in terms of denominator as like the below:
= 358/298
= 298 + 60/298

step 3 Make the above expression as individual fractions:
= 298/298 + 60/298

step 4 Simplify the above expression:
= 1 x 298/298 + 60/298
= 1 + 60/298
= 1 + 30 x 2/149 x 2
= 1 + 30/149
1 + 30/149 can be written as a mixed number 1 ³⁰/₁₄₉.


step 5 Find the decimal equivalent for the fractional part 30/149 in the above expression:
= 1 + 0.2013
= 1.2013
358/298 = 1.2013

Hence,
358/298 as a decimal is 1.2013
358/298 as a mixed number is 1 ³⁰/₁₄₉