153/102 as a Decimal and Mixed Number

153/102 as a decimal and mixed number expansion provides the detailed information about what is 153/102 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

153/102 as a Decimal
153/102 = 1.5
Hence,
153/102 as a decimal equals to 1.5
where,
153/102 is a given fraction,
The decimal expansion of 153/102 is 1.5

153/102 as a Mixed Number
153/102 = (102 + 51)/102
= 102/102 + 51/102
= 1 + 51/102
= 1 51/102
153/102 = 1 51/102

Hence,
153/102 as a mixed number is 1 ⁵¹/₁₀₂
where,
153/102 is a given fraction,
1 ⁵¹/₁₀₂ is the mixed number representation of 153/102.

The below work with steps provide the detailed information about how to convert fraction 153/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 153/102

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 153/102.

step 2 The numerator is greater than the denominator of the fraction 153/102, so write the given fraction in the expression form in terms of denominator as like the below:
= 153/102
= 102 + 51/102

step 3 Make the above expression as individual fractions:
= 102/102 + 51/102

step 4 Simplify the above expression:
= 1 x 102/102 + 51/102
= 1 + 51/102
= 1 + 1 x 51/2 x 51
= 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
153/102 = 1.5

Hence,
153/102 as a decimal is 1.5
153/102 as a mixed number is 1 ¹/₂