108/74 as a Decimal and Mixed Number

108/74 as a decimal and mixed number expansion provides the detailed information about what is 108/74 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

108/74 as a Decimal
108/74 = 1.4595
Hence,
108/74 as a decimal equals to 1.4595
where,
108/74 is a given fraction,
The decimal expansion of 108/74 is 1.4595

108/74 as a Mixed Number
108/74 = (74 + 34)/74
= 74/74 + 34/74
= 1 + 34/74
= 1 34/74
108/74 = 1 34/74

Hence,
108/74 as a mixed number is 1 ³⁴/₇₄
where,
108/74 is a given fraction,
1 ³⁴/₇₄ is the mixed number representation of 108/74.

The below work with steps provide the detailed information about how to convert fraction 108/74 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 108/74

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 108/74.

step 2 The numerator is greater than the denominator of the fraction 108/74, so write the given fraction in the expression form in terms of denominator as like the below:
= 108/74
= 74 + 34/74

step 3 Make the above expression as individual fractions:
= 74/74 + 34/74

step 4 Simplify the above expression:
= 1 x 74/74 + 34/74
= 1 + 34/74
= 1 + 17 x 2/37 x 2
= 1 + 17/37
1 + 17/37 can be written as a mixed number 1 ¹⁷/₃₇.


step 5 Find the decimal equivalent for the fractional part 17/37 in the above expression:
= 1 + 0.4595
= 1.4595
108/74 = 1.4595

Hence,
108/74 as a decimal is 1.4595
108/74 as a mixed number is 1 ¹⁷/₃₇