138/32 as a Decimal and Mixed Number

138/32 as a decimal and mixed number expansion provides the detailed information about what is 138/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

138/32 as a Decimal
138/32 = 4.3125
Hence,
138/32 as a decimal equals to 4.3125
where,
138/32 is a given fraction,
The decimal expansion of 138/32 is 4.3125

138/32 as a Mixed Number
138/32 = (128 + 10)/32
= 128/32 + 10/32
= 4 + 10/32
= 4 10/32
138/32 = 4 10/32

Hence,
138/32 as a mixed number is 4 ¹⁰/₃₂
where,
138/32 is a given fraction,
4 ¹⁰/₃₂ is the mixed number representation of 138/32.

The below work with steps provide the detailed information about how to convert fraction 138/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/32

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 138/32.

step 2 The numerator is greater than the denominator of the fraction 138/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 138/32
= 128 + 10/32
= (4 x 32) + 10/32

step 3 Make the above expression as individual fractions:
= (4 x 32)/32 + 10/32

step 4 Simplify the above expression:
= 4 x 32/32 + 10/32
= 4 + 10/32
= 4 + 5 x 2/16 x 2
= 4 + 5/16
4 + 5/16 can be written as a mixed number 4 ⁵/₁₆.


step 5 Find the decimal equivalent for the fractional part 5/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 4 + (5/16 x 625/625)
= 4 + 3125/10000

step 6 Simplify the above expression further:
= 4 + 0.3125
= 4.3125
138/32 = 4.3125

Hence,
138/32 as a decimal is 4.3125
138/32 as a mixed number is 4 ⁵/₁₆