171/120 as a Decimal and Mixed Number

171/120 as a decimal and mixed number expansion provides the detailed information about what is 171/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

171/120 as a Decimal
171/120 = 1.425
Hence,
171/120 as a decimal equals to 1.425
where,
171/120 is a given fraction,
The decimal expansion of 171/120 is 1.425

171/120 as a Mixed Number
171/120 = (120 + 51)/120
= 120/120 + 51/120
= 1 + 51/120
= 1 51/120
171/120 = 1 51/120

Hence,
171/120 as a mixed number is 1 ⁵¹/₁₂₀
where,
171/120 is a given fraction,
1 ⁵¹/₁₂₀ is the mixed number representation of 171/120.

The below work with steps provide the detailed information about how to convert fraction 171/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 171/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 171/120.

step 2 The numerator is greater than the denominator of the fraction 171/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 171/120
= 120 + 51/120

step 3 Make the above expression as individual fractions:
= 120/120 + 51/120

step 4 Simplify the above expression:
= 1 x 120/120 + 51/120
= 1 + 51/120
= 1 + 17 x 3/40 x 3
= 1 + 17/40
1 + 17/40 can be written as a mixed number 1 ¹⁷/₄₀.


step 5 Find the decimal equivalent for the fractional part 17/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (17/40 x 25/25)
= 1 + 425/1000

step 6 Simplify the above expression further:
= 1 + 0.425
= 1.425
171/120 = 1.425

Hence,
171/120 as a decimal is 1.425
171/120 as a mixed number is 1 ¹⁷/₄₀