255/360 as a Decimal

255/360 as a decimal expansion provides the detailed information about what is 255/360 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

255/360 as a Decimal
255/360 = 0.7083
Hence,
255/360 as a decimal equals to 0.7083
where,
255/360 is a given fraction,
The decimal expansion of 255/360 is 0.7083

255/360 as a Mixed Number
The given fraction 255/360 can't be represented as a mixed number since the numerator 255 of the given fraction is smaller than the denominator 360.

The below work with steps provide the detailed information about how to convert fraction 255/360 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/360

What to be found:
Find the decimal expansion of fraction 255/360.

step 2 The numerator is smaller than the denominator of the fraction 255/360, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 255/360.
= 255/360 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 255/360 x 1/10
= 2550/360 x 1/10

step 4 Simplify the above expression further:
= 2550/360 x 1/10
= 2520 + 30/360 x 1/10
= ( 2520/360 + 30/360) x 1/10
= (7 + 30/360 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 30/360 in the above expression:
= (7 + 30/360 ) x 1/10
= (7 + 0.083) x 1/10

step 6 Simplify the above expression further:
= (7 + 0.083) x 1/10
= 7.083 x 1/10
= 7.083/10
255/360= 0.7083

Hence,
255/360 as a decimal is 0.7083