198/120 as a Decimal and Mixed Number

198/120 as a decimal and mixed number expansion provides the detailed information about what is 198/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

198/120 as a Decimal
198/120 = 1.65
Hence,
198/120 as a decimal equals to 1.65
where,
198/120 is a given fraction,
The decimal expansion of 198/120 is 1.65

198/120 as a Mixed Number
198/120 = (120 + 78)/120
= 120/120 + 78/120
= 1 + 78/120
= 1 78/120
198/120 = 1 78/120

Hence,
198/120 as a mixed number is 1 ⁷⁸/₁₂₀
where,
198/120 is a given fraction,
1 ⁷⁸/₁₂₀ is the mixed number representation of 198/120.

The below work with steps provide the detailed information about how to convert fraction 198/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/120.

step 2 The numerator is greater than the denominator of the fraction 198/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/120
= 120 + 78/120

step 3 Make the above expression as individual fractions:
= 120/120 + 78/120

step 4 Simplify the above expression:
= 1 x 120/120 + 78/120
= 1 + 78/120
= 1 + 13 x 6/20 x 6
= 1 + 13/20
1 + 13/20 can be written as a mixed number 1 ¹³/₂₀.


step 5 Find the decimal equivalent for the fractional part 13/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (13/20 x 5/5)
= 1 + 65/100

step 6 Simplify the above expression further:
= 1 + 0.65
= 1.65
198/120 = 1.65

Hence,
198/120 as a decimal is 1.65
198/120 as a mixed number is 1 ¹³/₂₀