138/28 as a Decimal and Mixed Number

138/28 as a decimal and mixed number expansion provides the detailed information about what is 138/28 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

138/28 as a Decimal
138/28 = 4.9286
Hence,
138/28 as a decimal equals to 4.9286
where,
138/28 is a given fraction,
The decimal expansion of 138/28 is 4.9286

138/28 as a Mixed Number
138/28 = (112 + 26)/28
= 112/28 + 26/28
= 4 + 26/28
= 4 26/28
138/28 = 4 26/28

Hence,
138/28 as a mixed number is 4 ²⁶/₂₈
where,
138/28 is a given fraction,
4 ²⁶/₂₈ is the mixed number representation of 138/28.

The below work with steps provide the detailed information about how to convert fraction 138/28 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/28

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 138/28.

step 2 The numerator is greater than the denominator of the fraction 138/28, so write the given fraction in the expression form in terms of denominator as like the below:
= 138/28
= 112 + 26/28
= (4 x 28) + 26/28

step 3 Make the above expression as individual fractions:
= (4 x 28)/28 + 26/28

step 4 Simplify the above expression:
= 4 x 28/28 + 26/28
= 4 + 26/28
= 4 + 13 x 2/14 x 2
= 4 + 13/14
4 + 13/14 can be written as a mixed number 4 ¹³/₁₄.


step 5 Find the decimal equivalent for the fractional part 13/14 in the above expression:
= 4 + 0.9286
= 4.9286
138/28 = 4.9286

Hence,
138/28 as a decimal is 4.9286
138/28 as a mixed number is 4 ¹³/₁₄