230/225 as a Decimal and Mixed Number

230/225 as a decimal and mixed number expansion provides the detailed information about what is 230/225 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

230/225 as a Decimal
230/225 = 1.0222
Hence,
230/225 as a decimal equals to 1.0222
where,
230/225 is a given fraction,
The decimal expansion of 230/225 is 1.0222

230/225 as a Mixed Number
230/225 = (225 + 5)/225
= 225/225 + 5/225
= 1 + 5/225
= 1 5/225
230/225 = 1 5/225

Hence,
230/225 as a mixed number is 1 ⁵/₂₂₅
where,
230/225 is a given fraction,
1 ⁵/₂₂₅ is the mixed number representation of 230/225.

The below work with steps provide the detailed information about how to convert fraction 230/225 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 230/225

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 230/225.

step 2 The numerator is greater than the denominator of the fraction 230/225, so write the given fraction in the expression form in terms of denominator as like the below:
= 230/225
= 225 + 5/225

step 3 Make the above expression as individual fractions:
= 225/225 + 5/225

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


step 5 Find the decimal equivalent for the fractional part 1/45 in the above expression:
= 1 + 0.0222
= 1.0222
230/225 = 1.0222

Hence,
230/225 as a decimal is 1.0222
230/225 as a mixed number is 1 ¹/₄₅