180/152 as a Decimal and Mixed Number

180/152 as a decimal and mixed number expansion provides the detailed information about what is 180/152 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/152 as a Decimal
180/152 = 1.1842
Hence,
180/152 as a decimal equals to 1.1842
where,
180/152 is a given fraction,
The decimal expansion of 180/152 is 1.1842

180/152 as a Mixed Number
180/152 = (152 + 28)/152
= 152/152 + 28/152
= 1 + 28/152
= 1 28/152
180/152 = 1 28/152

Hence,
180/152 as a mixed number is 1 ²⁸/₁₅₂
where,
180/152 is a given fraction,
1 ²⁸/₁₅₂ is the mixed number representation of 180/152.

The below work with steps provide the detailed information about how to convert fraction 180/152 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/152

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/152.

step 2 The numerator is greater than the denominator of the fraction 180/152, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/152
= 152 + 28/152

step 3 Make the above expression as individual fractions:
= 152/152 + 28/152

step 4 Simplify the above expression:
= 1 x 152/152 + 28/152
= 1 + 28/152
= 1 + 7 x 4/38 x 4
= 1 + 7/38
1 + 7/38 can be written as a mixed number 1 ⁷/₃₈.


step 5 Find the decimal equivalent for the fractional part 7/38 in the above expression:
= 1 + 0.1842
= 1.1842
180/152 = 1.1842

Hence,
180/152 as a decimal is 1.1842
180/152 as a mixed number is 1 ⁷/₃₈