253/120 as a Decimal and Mixed Number

253/120 as a decimal and mixed number expansion provides the detailed information about what is 253/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

253/120 as a Decimal
253/120 = 2.1083
Hence,
253/120 as a decimal equals to 2.1083
where,
253/120 is a given fraction,
The decimal expansion of 253/120 is 2.1083

253/120 as a Mixed Number
253/120 = (240 + 13)/120
= 240/120 + 13/120
= 2 + 13/120
= 2 13/120
253/120 = 2 13/120

Hence,
253/120 as a mixed number is 2 ¹³/₁₂₀
where,
253/120 is a given fraction,
2 ¹³/₁₂₀ is the mixed number representation of 253/120.

The below work with steps provide the detailed information about how to convert fraction 253/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 253/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 253/120.

step 2 The numerator is greater than the denominator of the fraction 253/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 253/120
= 240 + 13/120
= (2 x 120) + 13/120

step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 13/120

step 4 Simplify the above expression:
= 2 x 120/120 + 13/120
= 2 + 13/120
2 + 13/120 can be written as a mixed number 2 ¹³/₁₂₀.


step 5 Find the decimal equivalent for the fractional part 13/120 in the above expression:
= 2 + 0.1083
= 2.1083
253/120 = 2.1083

Hence,
253/120 as a decimal is 2.1083
253/120 as a mixed number is 2 ¹³/₁₂₀