359/118 as a Decimal and Mixed Number

359/118 as a decimal and mixed number expansion provides the detailed information about what is 359/118 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

359/118 as a Decimal
359/118 = 3.0424
Hence,
359/118 as a decimal equals to 3.0424
where,
359/118 is a given fraction,
The decimal expansion of 359/118 is 3.0424

359/118 as a Mixed Number
359/118 = (354 + 5)/118
= 354/118 + 5/118
= 3 + 5/118
= 3 5/118
359/118 = 3 5/118

Hence,
359/118 as a mixed number is 3 ⁵/₁₁₈
where,
359/118 is a given fraction,
3 ⁵/₁₁₈ is the mixed number representation of 359/118.

The below work with steps provide the detailed information about how to convert fraction 359/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 359/118

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 359/118.

step 2 The numerator is greater than the denominator of the fraction 359/118, so write the given fraction in the expression form in terms of denominator as like the below:
= 359/118
= 354 + 5/118
= (3 x 118) + 5/118

step 3 Make the above expression as individual fractions:
= (3 x 118)/118 + 5/118

step 4 Simplify the above expression:
= 3 x 118/118 + 5/118
= 3 + 5/118
3 + 5/118 can be written as a mixed number 3 ⁵/₁₁₈.


step 5 Find the decimal equivalent for the fractional part 5/118 in the above expression:
= 3 + 0.0424
= 3.0424
359/118 = 3.0424

Hence,
359/118 as a decimal is 3.0424
359/118 as a mixed number is 3 ⁵/₁₁₈