312/120 as a Decimal and Mixed Number

312/120 as a decimal and mixed number expansion provides the detailed information about what is 312/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

312/120 as a Decimal
312/120 = 2.6
Hence,
312/120 as a decimal equals to 2.6
where,
312/120 is a given fraction,
The decimal expansion of 312/120 is 2.6

312/120 as a Mixed Number
312/120 = (240 + 72)/120
= 240/120 + 72/120
= 2 + 72/120
= 2 72/120
312/120 = 2 72/120

Hence,
312/120 as a mixed number is 2 ⁷²/₁₂₀
where,
312/120 is a given fraction,
2 ⁷²/₁₂₀ is the mixed number representation of 312/120.

The below work with steps provide the detailed information about how to convert fraction 312/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 312/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 312/120.

step 2 The numerator is greater than the denominator of the fraction 312/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 312/120
= 240 + 72/120
= (2 x 120) + 72/120

step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 72/120

step 4 Simplify the above expression:
= 2 x 120/120 + 72/120
= 2 + 72/120
= 2 + 3 x 24/5 x 24
= 2 + 3/5
2 + 3/5 can be written as a mixed number 2 ³/₅.


step 5 Find the decimal equivalent for the fractional part 3/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 2 + (3/5 x 2/2)
= 2 + 6/10

step 6 Simplify the above expression further:
= 2 + 0.6
= 2.6
312/120 = 2.6

Hence,
312/120 as a decimal is 2.6
312/120 as a mixed number is 2 ³/₅