74/288 as a Decimal

74/288 as a decimal expansion provides the detailed information about what is 74/288 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

74/288 as a Decimal
74/288 = 0.2569
Hence,
74/288 as a decimal equals to 0.2569
where,
74/288 is a given fraction,
The decimal expansion of 74/288 is 0.2569

74/288 as a Mixed Number
The given fraction 74/288 can't be represented as a mixed number since the numerator 74 of the given fraction is smaller than the denominator 288.

The below work with steps provide the detailed information about how to convert fraction 74/288 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 74/288

What to be found:
Find the decimal expansion of fraction 74/288.

step 2 The numerator is smaller than the denominator of the fraction 74/288, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 74/288.
= 74/288 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 74/288 x 1/100
= 7400/288 x 1/100

step 4 Simplify the above expression further:
= 7400/288 x 1/100
= 7200 + 200/288 x 1/100
= ( 7200/288 + 200/288) x 1/100
= (25 + 200/288 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 200/288 in the above expression:
= (25 + 200/288 ) x 1/100
= (25 + 0.694) x 1/100

step 6 Simplify the above expression further:
= (25 + 0.694) x 1/100
= 25.694 x 1/100
= 25.694/100
74/288= 0.25694

Hence,
74/288 as a decimal is 0.25694