249/225 as a Decimal and Mixed Number

249/225 as a decimal and mixed number expansion provides the detailed information about what is 249/225 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

249/225 as a Decimal
249/225 = 1.1067
Hence,
249/225 as a decimal equals to 1.1067
where,
249/225 is a given fraction,
The decimal expansion of 249/225 is 1.1067

249/225 as a Mixed Number
249/225 = (225 + 24)/225
= 225/225 + 24/225
= 1 + 24/225
= 1 24/225
249/225 = 1 24/225

Hence,
249/225 as a mixed number is 1 ²⁴/₂₂₅
where,
249/225 is a given fraction,
1 ²⁴/₂₂₅ is the mixed number representation of 249/225.

The below work with steps provide the detailed information about how to convert fraction 249/225 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 249/225

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 249/225.

step 2 The numerator is greater than the denominator of the fraction 249/225, so write the given fraction in the expression form in terms of denominator as like the below:
= 249/225
= 225 + 24/225

step 3 Make the above expression as individual fractions:
= 225/225 + 24/225

step 4 Simplify the above expression:
= 1 x 225/225 + 24/225
= 1 + 24/225
= 1 + 8 x 3/75 x 3
= 1 + 8/75
1 + 8/75 can be written as a mixed number 1 ⁸/₇₅.


step 5 Find the decimal equivalent for the fractional part 8/75 in the above expression:
= 1 + 0.1067
= 1.1067
249/225 = 1.1067

Hence,
249/225 as a decimal is 1.1067
249/225 as a mixed number is 1 ⁸/₇₅