245/225 as a Decimal and Mixed Number

245/225 as a decimal and mixed number expansion provides the detailed information about what is 245/225 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

245/225 as a Decimal
245/225 = 1.0889
Hence,
245/225 as a decimal equals to 1.0889
where,
245/225 is a given fraction,
The decimal expansion of 245/225 is 1.0889

245/225 as a Mixed Number
245/225 = (225 + 20)/225
= 225/225 + 20/225
= 1 + 20/225
= 1 20/225
245/225 = 1 20/225

Hence,
245/225 as a mixed number is 1 ²⁰/₂₂₅
where,
245/225 is a given fraction,
1 ²⁰/₂₂₅ is the mixed number representation of 245/225.

The below work with steps provide the detailed information about how to convert fraction 245/225 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 245/225

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 245/225.

step 2 The numerator is greater than the denominator of the fraction 245/225, so write the given fraction in the expression form in terms of denominator as like the below:
= 245/225
= 225 + 20/225

step 3 Make the above expression as individual fractions:
= 225/225 + 20/225

step 4 Simplify the above expression:
= 1 x 225/225 + 20/225
= 1 + 20/225
= 1 + 4 x 5/45 x 5
= 1 + 4/45
1 + 4/45 can be written as a mixed number 1 ⁴/₄₅.


step 5 Find the decimal equivalent for the fractional part 4/45 in the above expression:
= 1 + 0.0889
= 1.0889
245/225 = 1.0889

Hence,
245/225 as a decimal is 1.0889
245/225 as a mixed number is 1 ⁴/₄₅