358/216 as a Decimal and Mixed Number

358/216 as a decimal and mixed number expansion provides the detailed information about what is 358/216 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

358/216 as a Decimal
358/216 = 1.6574
Hence,
358/216 as a decimal equals to 1.6574
where,
358/216 is a given fraction,
The decimal expansion of 358/216 is 1.6574

358/216 as a Mixed Number
358/216 = (216 + 142)/216
= 216/216 + 142/216
= 1 + 142/216
= 1 142/216
358/216 = 1 142/216

Hence,
358/216 as a mixed number is 1 ¹⁴²/₂₁₆
where,
358/216 is a given fraction,
1 ¹⁴²/₂₁₆ is the mixed number representation of 358/216.

The below work with steps provide the detailed information about how to convert fraction 358/216 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 358/216

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 358/216.

step 2 The numerator is greater than the denominator of the fraction 358/216, so write the given fraction in the expression form in terms of denominator as like the below:
= 358/216
= 216 + 142/216

step 3 Make the above expression as individual fractions:
= 216/216 + 142/216

step 4 Simplify the above expression:
= 1 x 216/216 + 142/216
= 1 + 142/216
= 1 + 71 x 2/108 x 2
= 1 + 71/108
1 + 71/108 can be written as a mixed number 1 ⁷¹/₁₀₈.


step 5 Find the decimal equivalent for the fractional part 71/108 in the above expression:
= 1 + 0.6574
= 1.6574
358/216 = 1.6574

Hence,
358/216 as a decimal is 1.6574
358/216 as a mixed number is 1 ⁷¹/₁₀₈