180/288 as a Decimal

180/288 as a decimal expansion provides the detailed information about what is 180/288 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

180/288 as a Decimal
180/288 = 0.625
Hence,
180/288 as a decimal equals to 0.625
where,
180/288 is a given fraction,
The decimal expansion of 180/288 is 0.625

180/288 as a Mixed Number
The given fraction 180/288 can't be represented as a mixed number since the numerator 180 of the given fraction is smaller than the denominator 288.

The below work with steps provide the detailed information about how to convert fraction 180/288 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/288

What to be found:
Find the decimal expansion of fraction 180/288.

step 2 The numerator is smaller than the denominator of the fraction 180/288, 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 180/288.
= 180/288 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 180/288 x 1/10
= 1800/288 x 1/10

step 4 Simplify the above expression further:
= 1800/288 x 1/10
= 1728 + 72/288 x 1/10
= ( 1728/288 + 72/288) x 1/10
= (6 + 72/288 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 72/288 in the above expression:
= (6 + 72/288 ) x 1/10
= (6 + 0.25) x 1/10

step 6 Simplify the above expression further:
= (6 + 0.25) x 1/10
= 6.25 x 1/10
= 6.25/10
180/288= 0.625

Hence,
180/288 as a decimal is 0.625