355/120 as a Decimal and Mixed Number

355/120 as a decimal and mixed number expansion provides the detailed information about what is 355/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/120 as a Decimal
355/120 = 2.9583
Hence,
355/120 as a decimal equals to 2.9583
where,
355/120 is a given fraction,
The decimal expansion of 355/120 is 2.9583

355/120 as a Mixed Number
355/120 = (240 + 115)/120
= 240/120 + 115/120
= 2 + 115/120
= 2 115/120
355/120 = 2 115/120

Hence,
355/120 as a mixed number is 2 ¹¹⁵/₁₂₀
where,
355/120 is a given fraction,
2 ¹¹⁵/₁₂₀ is the mixed number representation of 355/120.

The below work with steps provide the detailed information about how to convert fraction 355/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/120.

step 2 The numerator is greater than the denominator of the fraction 355/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/120
= 240 + 115/120
= (2 x 120) + 115/120

step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 115/120

step 4 Simplify the above expression:
= 2 x 120/120 + 115/120
= 2 + 115/120
= 2 + 23 x 5/24 x 5
= 2 + 23/24
2 + 23/24 can be written as a mixed number 2 ²³/₂₄.


step 5 Find the decimal equivalent for the fractional part 23/24 in the above expression:
= 2 + 0.9583
= 2.9583
355/120 = 2.9583

Hence,
355/120 as a decimal is 2.9583
355/120 as a mixed number is 2 ²³/₂₄