152/128 as a Decimal and Mixed Number

152/128 as a decimal and mixed number expansion provides the detailed information about what is 152/128 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

152/128 as a Decimal
152/128 = 1.1875
Hence,
152/128 as a decimal equals to 1.1875
where,
152/128 is a given fraction,
The decimal expansion of 152/128 is 1.1875

152/128 as a Mixed Number
152/128 = (128 + 24)/128
= 128/128 + 24/128
= 1 + 24/128
= 1 24/128
152/128 = 1 24/128

Hence,
152/128 as a mixed number is 1 ²⁴/₁₂₈
where,
152/128 is a given fraction,
1 ²⁴/₁₂₈ is the mixed number representation of 152/128.

The below work with steps provide the detailed information about how to convert fraction 152/128 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 152/128

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 152/128.

step 2 The numerator is greater than the denominator of the fraction 152/128, so write the given fraction in the expression form in terms of denominator as like the below:
= 152/128
= 128 + 24/128

step 3 Make the above expression as individual fractions:
= 128/128 + 24/128

step 4 Simplify the above expression:
= 1 x 128/128 + 24/128
= 1 + 24/128
= 1 + 3 x 8/16 x 8
= 1 + 3/16
1 + 3/16 can be written as a mixed number 1 ³/₁₆.


step 5 Find the decimal equivalent for the fractional part 3/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (3/16 x 625/625)
= 1 + 1875/10000

step 6 Simplify the above expression further:
= 1 + 0.1875
= 1.1875
152/128 = 1.1875

Hence,
152/128 as a decimal is 1.1875
152/128 as a mixed number is 1 ³/₁₆