132/30 as a Decimal and Mixed Number

132/30 as a decimal and mixed number expansion provides the detailed information about what is 132/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

132/30 as a Decimal
132/30 = 4.4
Hence,
132/30 as a decimal equals to 4.4
where,
132/30 is a given fraction,
The decimal expansion of 132/30 is 4.4

132/30 as a Mixed Number
132/30 = (120 + 12)/30
= 120/30 + 12/30
= 4 + 12/30
= 4 12/30
132/30 = 4 12/30

Hence,
132/30 as a mixed number is 4 ¹²/₃₀
where,
132/30 is a given fraction,
4 ¹²/₃₀ is the mixed number representation of 132/30.

The below work with steps provide the detailed information about how to convert fraction 132/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 132/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 132/30.

step 2 The numerator is greater than the denominator of the fraction 132/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 132/30
= 120 + 12/30
= (4 x 30) + 12/30

step 3 Make the above expression as individual fractions:
= (4 x 30)/30 + 12/30

step 4 Simplify the above expression:
= 4 x 30/30 + 12/30
= 4 + 12/30
= 4 + 2 x 6/5 x 6
= 4 + 2/5
4 + 2/5 can be written as a mixed number 4 ²/₅.


step 5 Find the decimal equivalent for the fractional part 2/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 4 + (2/5 x 2/2)
= 4 + 4/10

step 6 Simplify the above expression further:
= 4 + 0.4
= 4.4
132/30 = 4.4

Hence,
132/30 as a decimal is 4.4
132/30 as a mixed number is 4 ²/₅