262/120 as a Decimal and Mixed Number

262/120 as a decimal and mixed number expansion provides the detailed information about what is 262/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

262/120 as a Decimal
262/120 = 2.1833
Hence,
262/120 as a decimal equals to 2.1833
where,
262/120 is a given fraction,
The decimal expansion of 262/120 is 2.1833

262/120 as a Mixed Number
262/120 = (240 + 22)/120
= 240/120 + 22/120
= 2 + 22/120
= 2 22/120
262/120 = 2 22/120

Hence,
262/120 as a mixed number is 2 ²²/₁₂₀
where,
262/120 is a given fraction,
2 ²²/₁₂₀ is the mixed number representation of 262/120.

The below work with steps provide the detailed information about how to convert fraction 262/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 262/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 262/120.

step 2 The numerator is greater than the denominator of the fraction 262/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 262/120
= 240 + 22/120
= (2 x 120) + 22/120

step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 22/120

step 4 Simplify the above expression:
= 2 x 120/120 + 22/120
= 2 + 22/120
= 2 + 11 x 2/60 x 2
= 2 + 11/60
2 + 11/60 can be written as a mixed number 2 ¹¹/₆₀.


step 5 Find the decimal equivalent for the fractional part 11/60 in the above expression:
= 2 + 0.1833
= 2.1833
262/120 = 2.1833

Hence,
262/120 as a decimal is 2.1833
262/120 as a mixed number is 2 ¹¹/₆₀