162/120 as a Decimal and Mixed Number

162/120 as a decimal and mixed number expansion provides the detailed information about what is 162/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

162/120 as a Decimal
162/120 = 1.35
Hence,
162/120 as a decimal equals to 1.35
where,
162/120 is a given fraction,
The decimal expansion of 162/120 is 1.35

162/120 as a Mixed Number
162/120 = (120 + 42)/120
= 120/120 + 42/120
= 1 + 42/120
= 1 42/120
162/120 = 1 42/120

Hence,
162/120 as a mixed number is 1 ⁴²/₁₂₀
where,
162/120 is a given fraction,
1 ⁴²/₁₂₀ is the mixed number representation of 162/120.

The below work with steps provide the detailed information about how to convert fraction 162/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 162/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 162/120.

step 2 The numerator is greater than the denominator of the fraction 162/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 162/120
= 120 + 42/120

step 3 Make the above expression as individual fractions:
= 120/120 + 42/120

step 4 Simplify the above expression:
= 1 x 120/120 + 42/120
= 1 + 42/120
= 1 + 7 x 6/20 x 6
= 1 + 7/20
1 + 7/20 can be written as a mixed number 1 ⁷/₂₀.


step 5 Find the decimal equivalent for the fractional part 7/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (7/20 x 5/5)
= 1 + 35/100

step 6 Simplify the above expression further:
= 1 + 0.35
= 1.35
162/120 = 1.35

Hence,
162/120 as a decimal is 1.35
162/120 as a mixed number is 1 ⁷/₂₀