138/92 as a Decimal and Mixed Number

138/92 as a decimal and mixed number expansion provides the detailed information about what is 138/92 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

138/92 as a Decimal
138/92 = 1.5
Hence,
138/92 as a decimal equals to 1.5
where,
138/92 is a given fraction,
The decimal expansion of 138/92 is 1.5

138/92 as a Mixed Number
138/92 = (92 + 46)/92
= 92/92 + 46/92
= 1 + 46/92
= 1 46/92
138/92 = 1 46/92

Hence,
138/92 as a mixed number is 1 ⁴⁶/₉₂
where,
138/92 is a given fraction,
1 ⁴⁶/₉₂ is the mixed number representation of 138/92.

The below work with steps provide the detailed information about how to convert fraction 138/92 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/92

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 138/92.

step 2 The numerator is greater than the denominator of the fraction 138/92, so write the given fraction in the expression form in terms of denominator as like the below:
= 138/92
= 92 + 46/92

step 3 Make the above expression as individual fractions:
= 92/92 + 46/92

step 4 Simplify the above expression:
= 1 x 92/92 + 46/92
= 1 + 46/92
= 1 + 1 x 46/2 x 46
= 1 + 1/2
1 + 1/2 can be written as a mixed number 1 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (1/2 x 5/5)
= 1 + 5/10

step 6 Simplify the above expression further:
= 1 + 0.5
= 1.5
138/92 = 1.5

Hence,
138/92 as a decimal is 1.5
138/92 as a mixed number is 1 ¹/₂