230/45 as a Decimal and Mixed Number

230/45 as a decimal and mixed number expansion provides the detailed information about what is 230/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

230/45 as a Decimal
230/45 = 5.1111
Hence,
230/45 as a decimal equals to 5.1111
where,
230/45 is a given fraction,
The decimal expansion of 230/45 is 5.1111

230/45 as a Mixed Number
230/45 = (225 + 5)/45
= 225/45 + 5/45
= 5 + 5/45
= 5 5/45
230/45 = 5 5/45

Hence,
230/45 as a mixed number is 5 ⁵/₄₅
where,
230/45 is a given fraction,
5 ⁵/₄₅ is the mixed number representation of 230/45.

The below work with steps provide the detailed information about how to convert fraction 230/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 230/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 230/45.

step 2 The numerator is greater than the denominator of the fraction 230/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 230/45
= 225 + 5/45
= (5 x 45) + 5/45

step 3 Make the above expression as individual fractions:
= (5 x 45)/45 + 5/45

step 4 Simplify the above expression:
= 5 x 45/45 + 5/45
= 5 + 5/45
= 5 + 1 x 5/9 x 5
= 5 + 1/9
5 + 1/9 can be written as a mixed number 5 ¹/₉.


step 5 Find the decimal equivalent for the fractional part 1/9 in the above expression:
= 5 + 0.1111
= 5.1111
230/45 = 5.1111

Hence,
230/45 as a decimal is 5.1111
230/45 as a mixed number is 5 ¹/₉