305/120 as a Decimal and Mixed Number

305/120 as a decimal and mixed number expansion provides the detailed information about what is 305/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

305/120 as a Decimal
305/120 = 2.5417
Hence,
305/120 as a decimal equals to 2.5417
where,
305/120 is a given fraction,
The decimal expansion of 305/120 is 2.5417

305/120 as a Mixed Number
305/120 = (240 + 65)/120
= 240/120 + 65/120
= 2 + 65/120
= 2 65/120
305/120 = 2 65/120

Hence,
305/120 as a mixed number is 2 ⁶⁵/₁₂₀
where,
305/120 is a given fraction,
2 ⁶⁵/₁₂₀ is the mixed number representation of 305/120.

The below work with steps provide the detailed information about how to convert fraction 305/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 305/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 305/120.

step 2 The numerator is greater than the denominator of the fraction 305/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 305/120
= 240 + 65/120
= (2 x 120) + 65/120

step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 65/120

step 4 Simplify the above expression:
= 2 x 120/120 + 65/120
= 2 + 65/120
= 2 + 13 x 5/24 x 5
= 2 + 13/24
2 + 13/24 can be written as a mixed number 2 ¹³/₂₄.


step 5 Find the decimal equivalent for the fractional part 13/24 in the above expression:
= 2 + 0.5417
= 2.5417
305/120 = 2.5417

Hence,
305/120 as a decimal is 2.5417
305/120 as a mixed number is 2 ¹³/₂₄