162/30 as a Decimal and Mixed Number

162/30 as a decimal and mixed number expansion provides the detailed information about what is 162/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

162/30 as a Decimal
162/30 = 5.4
Hence,
162/30 as a decimal equals to 5.4
where,
162/30 is a given fraction,
The decimal expansion of 162/30 is 5.4

162/30 as a Mixed Number
162/30 = (150 + 12)/30
= 150/30 + 12/30
= 5 + 12/30
= 5 12/30
162/30 = 5 12/30

Hence,
162/30 as a mixed number is 5 ¹²/₃₀
where,
162/30 is a given fraction,
5 ¹²/₃₀ is the mixed number representation of 162/30.

The below work with steps provide the detailed information about how to convert fraction 162/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 162/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 162/30.

step 2 The numerator is greater than the denominator of the fraction 162/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 162/30
= 150 + 12/30
= (5 x 30) + 12/30

step 3 Make the above expression as individual fractions:
= (5 x 30)/30 + 12/30

step 4 Simplify the above expression:
= 5 x 30/30 + 12/30
= 5 + 12/30
= 5 + 2 x 6/5 x 6
= 5 + 2/5
5 + 2/5 can be written as a mixed number 5 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:
= 5 + (2/5 x 2/2)
= 5 + 4/10

step 6 Simplify the above expression further:
= 5 + 0.4
= 5.4
162/30 = 5.4

Hence,
162/30 as a decimal is 5.4
162/30 as a mixed number is 5 ²/₅