360/216 as a Decimal and Mixed Number

360/216 as a decimal and mixed number expansion provides the detailed information about what is 360/216 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

360/216 as a Decimal
360/216 = 1.6667
Hence,
360/216 as a decimal equals to 1.6667
where,
360/216 is a given fraction,
The decimal expansion of 360/216 is 1.6667

360/216 as a Mixed Number
360/216 = (216 + 144)/216
= 216/216 + 144/216
= 1 + 144/216
= 1 144/216
360/216 = 1 144/216

Hence,
360/216 as a mixed number is 1 ¹⁴⁴/₂₁₆
where,
360/216 is a given fraction,
1 ¹⁴⁴/₂₁₆ is the mixed number representation of 360/216.

The below work with steps provide the detailed information about how to convert fraction 360/216 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 360/216

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 360/216.

step 2 The numerator is greater than the denominator of the fraction 360/216, so write the given fraction in the expression form in terms of denominator as like the below:
= 360/216
= 216 + 144/216

step 3 Make the above expression as individual fractions:
= 216/216 + 144/216

step 4 Simplify the above expression:
= 1 x 216/216 + 144/216
= 1 + 144/216
= 1 + 2 x 72/3 x 72
= 1 + 2/3
1 + 2/3 can be written as a mixed number 1 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 1 + 0.6667
= 1.6667
360/216 = 1.6667

Hence,
360/216 as a decimal is 1.6667
360/216 as a mixed number is 1 ²/₃