169/120 as a Decimal and Mixed Number

169/120 as a decimal and mixed number expansion provides the detailed information about what is 169/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

169/120 as a Decimal
169/120 = 1.4083
Hence,
169/120 as a decimal equals to 1.4083
where,
169/120 is a given fraction,
The decimal expansion of 169/120 is 1.4083

169/120 as a Mixed Number
169/120 = (120 + 49)/120
= 120/120 + 49/120
= 1 + 49/120
= 1 49/120
169/120 = 1 49/120

Hence,
169/120 as a mixed number is 1 ⁴⁹/₁₂₀
where,
169/120 is a given fraction,
1 ⁴⁹/₁₂₀ is the mixed number representation of 169/120.

The below work with steps provide the detailed information about how to convert fraction 169/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 169/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 169/120.

step 2 The numerator is greater than the denominator of the fraction 169/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 169/120
= 120 + 49/120

step 3 Make the above expression as individual fractions:
= 120/120 + 49/120

step 4 Simplify the above expression:
= 1 x 120/120 + 49/120
= 1 + 49/120
1 + 49/120 can be written as a mixed number 1 ⁴⁹/₁₂₀.


step 5 Find the decimal equivalent for the fractional part 49/120 in the above expression:
= 1 + 0.4083
= 1.4083
169/120 = 1.4083

Hence,
169/120 as a decimal is 1.4083
169/120 as a mixed number is 1 ⁴⁹/₁₂₀