358/320 as a Decimal and Mixed Number

358/320 as a decimal and mixed number expansion provides the detailed information about what is 358/320 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

358/320 as a Decimal
358/320 = 1.1188
Hence,
358/320 as a decimal equals to 1.1188
where,
358/320 is a given fraction,
The decimal expansion of 358/320 is 1.1188

358/320 as a Mixed Number
358/320 = (320 + 38)/320
= 320/320 + 38/320
= 1 + 38/320
= 1 38/320
358/320 = 1 38/320

Hence,
358/320 as a mixed number is 1 ³⁸/₃₂₀
where,
358/320 is a given fraction,
1 ³⁸/₃₂₀ is the mixed number representation of 358/320.

The below work with steps provide the detailed information about how to convert fraction 358/320 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 358/320

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 358/320.

step 2 The numerator is greater than the denominator of the fraction 358/320, so write the given fraction in the expression form in terms of denominator as like the below:
= 358/320
= 320 + 38/320

step 3 Make the above expression as individual fractions:
= 320/320 + 38/320

step 4 Simplify the above expression:
= 1 x 320/320 + 38/320
= 1 + 38/320
= 1 + 19 x 2/160 x 2
= 1 + 19/160
1 + 19/160 can be written as a mixed number 1 ¹⁹/₁₆₀.


step 5 Find the decimal equivalent for the fractional part 19/160 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (19/160 x 625/625)
= 1 + 11875/100000

step 6 Simplify the above expression further:
= 1 + 0.11875
= 1.11875
358/320 = 1.11875

Hence,
358/320 as a decimal is 1.11875
358/320 as a mixed number is 1 ¹⁹/₁₆₀