312/240 as a Decimal and Mixed Number

312/240 as a decimal and mixed number expansion provides the detailed information about what is 312/240 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

312/240 as a Decimal
312/240 = 1.3
Hence,
312/240 as a decimal equals to 1.3
where,
312/240 is a given fraction,
The decimal expansion of 312/240 is 1.3

312/240 as a Mixed Number
312/240 = (240 + 72)/240
= 240/240 + 72/240
= 1 + 72/240
= 1 72/240
312/240 = 1 72/240

Hence,
312/240 as a mixed number is 1 ⁷²/₂₄₀
where,
312/240 is a given fraction,
1 ⁷²/₂₄₀ is the mixed number representation of 312/240.

The below work with steps provide the detailed information about how to convert fraction 312/240 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 312/240

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 312/240.

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

step 3 Make the above expression as individual fractions:
= 240/240 + 72/240

step 4 Simplify the above expression:
= 1 x 240/240 + 72/240
= 1 + 72/240
= 1 + 3 x 24/10 x 24
= 1 + 3/10
1 + 3/10 can be written as a mixed number 1 ³/₁₀.


step 5 Find the decimal equivalent for the fractional part 3/10 in the above expression:
= 1 + 0.3
= 1.3
312/240 = 1.3

Hence,
312/240 as a decimal is 1.3
312/240 as a mixed number is 1 ³/₁₀