245/230 as a Decimal and Mixed Number

245/230 as a decimal and mixed number expansion provides the detailed information about what is 245/230 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

245/230 as a Decimal
245/230 = 1.0652
Hence,
245/230 as a decimal equals to 1.0652
where,
245/230 is a given fraction,
The decimal expansion of 245/230 is 1.0652

245/230 as a Mixed Number
245/230 = (230 + 15)/230
= 230/230 + 15/230
= 1 + 15/230
= 1 15/230
245/230 = 1 15/230

Hence,
245/230 as a mixed number is 1 ¹⁵/₂₃₀
where,
245/230 is a given fraction,
1 ¹⁵/₂₃₀ is the mixed number representation of 245/230.

The below work with steps provide the detailed information about how to convert fraction 245/230 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 245/230

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 245/230.

step 2 The numerator is greater than the denominator of the fraction 245/230, so write the given fraction in the expression form in terms of denominator as like the below:
= 245/230
= 230 + 15/230

step 3 Make the above expression as individual fractions:
= 230/230 + 15/230

step 4 Simplify the above expression:
= 1 x 230/230 + 15/230
= 1 + 15/230
= 1 + 3 x 5/46 x 5
= 1 + 3/46
1 + 3/46 can be written as a mixed number 1 ³/₄₆.


step 5 Find the decimal equivalent for the fractional part 3/46 in the above expression:
= 1 + 0.0652
= 1.0652
245/230 = 1.0652

Hence,
245/230 as a decimal is 1.0652
245/230 as a mixed number is 1 ³/₄₆