261/120 as a Decimal and Mixed Number

261/120 as a decimal and mixed number expansion provides the detailed information about what is 261/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

261/120 as a Decimal
261/120 = 2.175
Hence,
261/120 as a decimal equals to 2.175
where,
261/120 is a given fraction,
The decimal expansion of 261/120 is 2.175

261/120 as a Mixed Number
261/120 = (240 + 21)/120
= 240/120 + 21/120
= 2 + 21/120
= 2 21/120
261/120 = 2 21/120

Hence,
261/120 as a mixed number is 2 ²¹/₁₂₀
where,
261/120 is a given fraction,
2 ²¹/₁₂₀ is the mixed number representation of 261/120.

The below work with steps provide the detailed information about how to convert fraction 261/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 261/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 261/120.

step 2 The numerator is greater than the denominator of the fraction 261/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 261/120
= 240 + 21/120
= (2 x 120) + 21/120

step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 21/120

step 4 Simplify the above expression:
= 2 x 120/120 + 21/120
= 2 + 21/120
= 2 + 7 x 3/40 x 3
= 2 + 7/40
2 + 7/40 can be written as a mixed number 2 ⁷/₄₀.


step 5 Find the decimal equivalent for the fractional part 7/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (7/40 x 25/25)
= 2 + 175/1000

step 6 Simplify the above expression further:
= 2 + 0.175
= 2.175
261/120 = 2.175

Hence,
261/120 as a decimal is 2.175
261/120 as a mixed number is 2 ⁷/₄₀