306/120 as a Decimal and Mixed Number

306/120 as a decimal and mixed number expansion provides the detailed information about what is 306/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

306/120 as a Decimal
306/120 = 2.55
Hence,
306/120 as a decimal equals to 2.55
where,
306/120 is a given fraction,
The decimal expansion of 306/120 is 2.55

306/120 as a Mixed Number
306/120 = (240 + 66)/120
= 240/120 + 66/120
= 2 + 66/120
= 2 66/120
306/120 = 2 66/120

Hence,
306/120 as a mixed number is 2 ⁶⁶/₁₂₀
where,
306/120 is a given fraction,
2 ⁶⁶/₁₂₀ is the mixed number representation of 306/120.

The below work with steps provide the detailed information about how to convert fraction 306/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 306/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 306/120.

step 2 The numerator is greater than the denominator of the fraction 306/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 306/120
= 240 + 66/120
= (2 x 120) + 66/120

step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 66/120

step 4 Simplify the above expression:
= 2 x 120/120 + 66/120
= 2 + 66/120
= 2 + 11 x 6/20 x 6
= 2 + 11/20
2 + 11/20 can be written as a mixed number 2 ¹¹/₂₀.


step 5 Find the decimal equivalent for the fractional part 11/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 2 + (11/20 x 5/5)
= 2 + 55/100

step 6 Simplify the above expression further:
= 2 + 0.55
= 2.55
306/120 = 2.55

Hence,
306/120 as a decimal is 2.55
306/120 as a mixed number is 2 ¹¹/₂₀