358/338 as a Decimal and Mixed Number

358/338 as a decimal and mixed number expansion provides the detailed information about what is 358/338 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

358/338 as a Decimal
358/338 = 1.0592
Hence,
358/338 as a decimal equals to 1.0592
where,
358/338 is a given fraction,
The decimal expansion of 358/338 is 1.0592

358/338 as a Mixed Number
358/338 = (338 + 20)/338
= 338/338 + 20/338
= 1 + 20/338
= 1 20/338
358/338 = 1 20/338

Hence,
358/338 as a mixed number is 1 ²⁰/₃₃₈
where,
358/338 is a given fraction,
1 ²⁰/₃₃₈ is the mixed number representation of 358/338.

The below work with steps provide the detailed information about how to convert fraction 358/338 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 358/338

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 358/338.

step 2 The numerator is greater than the denominator of the fraction 358/338, so write the given fraction in the expression form in terms of denominator as like the below:
= 358/338
= 338 + 20/338

step 3 Make the above expression as individual fractions:
= 338/338 + 20/338

step 4 Simplify the above expression:
= 1 x 338/338 + 20/338
= 1 + 20/338
= 1 + 10 x 2/169 x 2
= 1 + 10/169
1 + 10/169 can be written as a mixed number 1 ¹⁰/₁₆₉.


step 5 Find the decimal equivalent for the fractional part 10/169 in the above expression:
= 1 + 0.0592
= 1.0592
358/338 = 1.0592

Hence,
358/338 as a decimal is 1.0592
358/338 as a mixed number is 1 ¹⁰/₁₆₉