252/45 as a Decimal and Mixed Number

252/45 as a decimal and mixed number expansion provides the detailed information about what is 252/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

252/45 as a Decimal
252/45 = 5.6
Hence,
252/45 as a decimal equals to 5.6
where,
252/45 is a given fraction,
The decimal expansion of 252/45 is 5.6

252/45 as a Mixed Number
252/45 = (225 + 27)/45
= 225/45 + 27/45
= 5 + 27/45
= 5 27/45
252/45 = 5 27/45

Hence,
252/45 as a mixed number is 5 ²⁷/₄₅
where,
252/45 is a given fraction,
5 ²⁷/₄₅ is the mixed number representation of 252/45.

The below work with steps provide the detailed information about how to convert fraction 252/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 252/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 252/45.

step 2 The numerator is greater than the denominator of the fraction 252/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 252/45
= 225 + 27/45
= (5 x 45) + 27/45

step 3 Make the above expression as individual fractions:
= (5 x 45)/45 + 27/45

step 4 Simplify the above expression:
= 5 x 45/45 + 27/45
= 5 + 27/45
= 5 + 3 x 9/5 x 9
= 5 + 3/5
5 + 3/5 can be written as a mixed number 5 ³/₅.


step 5 Find the decimal equivalent for the fractional part 3/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 5 + (3/5 x 2/2)
= 5 + 6/10

step 6 Simplify the above expression further:
= 5 + 0.6
= 5.6
252/45 = 5.6

Hence,
252/45 as a decimal is 5.6
252/45 as a mixed number is 5 ³/₅