180/117 as a Decimal and Mixed Number

180/117 as a decimal and mixed number expansion provides the detailed information about what is 180/117 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/117 as a Decimal
180/117 = 1.5385
Hence,
180/117 as a decimal equals to 1.5385
where,
180/117 is a given fraction,
The decimal expansion of 180/117 is 1.5385

180/117 as a Mixed Number
180/117 = (117 + 63)/117
= 117/117 + 63/117
= 1 + 63/117
= 1 63/117
180/117 = 1 63/117

Hence,
180/117 as a mixed number is 1 ⁶³/₁₁₇
where,
180/117 is a given fraction,
1 ⁶³/₁₁₇ is the mixed number representation of 180/117.

The below work with steps provide the detailed information about how to convert fraction 180/117 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/117

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/117.

step 2 The numerator is greater than the denominator of the fraction 180/117, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/117
= 117 + 63/117

step 3 Make the above expression as individual fractions:
= 117/117 + 63/117

step 4 Simplify the above expression:
= 1 x 117/117 + 63/117
= 1 + 63/117
= 1 + 7 x 9/13 x 9
= 1 + 7/13
1 + 7/13 can be written as a mixed number 1 ⁷/₁₃.


step 5 Find the decimal equivalent for the fractional part 7/13 in the above expression:
= 1 + 0.5385
= 1.5385
180/117 = 1.5385

Hence,
180/117 as a decimal is 1.5385
180/117 as a mixed number is 1 ⁷/₁₃