234/45 as a Decimal and Mixed Number

234/45 as a decimal and mixed number expansion provides the detailed information about what is 234/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

234/45 as a Decimal
234/45 = 5.2
Hence,
234/45 as a decimal equals to 5.2
where,
234/45 is a given fraction,
The decimal expansion of 234/45 is 5.2

234/45 as a Mixed Number
234/45 = (225 + 9)/45
= 225/45 + 9/45
= 5 + 9/45
= 5 9/45
234/45 = 5 9/45

Hence,
234/45 as a mixed number is 5 ⁹/₄₅
where,
234/45 is a given fraction,
5 ⁹/₄₅ is the mixed number representation of 234/45.

The below work with steps provide the detailed information about how to convert fraction 234/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 234/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 234/45.

step 2 The numerator is greater than the denominator of the fraction 234/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 234/45
= 225 + 9/45
= (5 x 45) + 9/45

step 3 Make the above expression as individual fractions:
= (5 x 45)/45 + 9/45

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


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 5 + (1/5 x 2/2)
= 5 + 2/10

step 6 Simplify the above expression further:
= 5 + 0.2
= 5.2
234/45 = 5.2

Hence,
234/45 as a decimal is 5.2
234/45 as a mixed number is 5 ¹/₅