231/45 as a Decimal and Mixed Number

231/45 as a decimal and mixed number expansion provides the detailed information about what is 231/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

231/45 as a Decimal
231/45 = 5.1333
Hence,
231/45 as a decimal equals to 5.1333
where,
231/45 is a given fraction,
The decimal expansion of 231/45 is 5.1333

231/45 as a Mixed Number
231/45 = (225 + 6)/45
= 225/45 + 6/45
= 5 + 6/45
= 5 6/45
231/45 = 5 6/45

Hence,
231/45 as a mixed number is 5 ⁶/₄₅
where,
231/45 is a given fraction,
5 ⁶/₄₅ is the mixed number representation of 231/45.

The below work with steps provide the detailed information about how to convert fraction 231/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 231/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 231/45.

step 2 The numerator is greater than the denominator of the fraction 231/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 231/45
= 225 + 6/45
= (5 x 45) + 6/45

step 3 Make the above expression as individual fractions:
= (5 x 45)/45 + 6/45

step 4 Simplify the above expression:
= 5 x 45/45 + 6/45
= 5 + 6/45
= 5 + 2 x 3/15 x 3
= 5 + 2/15
5 + 2/15 can be written as a mixed number 5 ²/₁₅.


step 5 Find the decimal equivalent for the fractional part 2/15 in the above expression:
= 5 + 0.1333
= 5.1333
231/45 = 5.1333

Hence,
231/45 as a decimal is 5.1333
231/45 as a mixed number is 5 ²/₁₅