261/225 as a Decimal and Mixed Number

261/225 as a decimal and mixed number expansion provides the detailed information about what is 261/225 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

261/225 as a Decimal
261/225 = 1.16
Hence,
261/225 as a decimal equals to 1.16
where,
261/225 is a given fraction,
The decimal expansion of 261/225 is 1.16

261/225 as a Mixed Number
261/225 = (225 + 36)/225
= 225/225 + 36/225
= 1 + 36/225
= 1 36/225
261/225 = 1 36/225

Hence,
261/225 as a mixed number is 1 ³⁶/₂₂₅
where,
261/225 is a given fraction,
1 ³⁶/₂₂₅ is the mixed number representation of 261/225.

The below work with steps provide the detailed information about how to convert fraction 261/225 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 261/225

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 261/225.

step 2 The numerator is greater than the denominator of the fraction 261/225, so write the given fraction in the expression form in terms of denominator as like the below:
= 261/225
= 225 + 36/225

step 3 Make the above expression as individual fractions:
= 225/225 + 36/225

step 4 Simplify the above expression:
= 1 x 225/225 + 36/225
= 1 + 36/225
= 1 + 4 x 9/25 x 9
= 1 + 4/25
1 + 4/25 can be written as a mixed number 1 ⁴/₂₅.


step 5 Find the decimal equivalent for the fractional part 4/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 1 + (4/25 x 4/4)
= 1 + 16/100

step 6 Simplify the above expression further:
= 1 + 0.16
= 1.16
261/225 = 1.16

Hence,
261/225 as a decimal is 1.16
261/225 as a mixed number is 1 ⁴/₂₅