302/240 as a Decimal and Mixed Number

302/240 as a decimal and mixed number expansion provides the detailed information about what is 302/240 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

302/240 as a Decimal
302/240 = 1.2583
Hence,
302/240 as a decimal equals to 1.2583
where,
302/240 is a given fraction,
The decimal expansion of 302/240 is 1.2583

302/240 as a Mixed Number
302/240 = (240 + 62)/240
= 240/240 + 62/240
= 1 + 62/240
= 1 62/240
302/240 = 1 62/240

Hence,
302/240 as a mixed number is 1 ⁶²/₂₄₀
where,
302/240 is a given fraction,
1 ⁶²/₂₄₀ is the mixed number representation of 302/240.

The below work with steps provide the detailed information about how to convert fraction 302/240 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 302/240

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 302/240.

step 2 The numerator is greater than the denominator of the fraction 302/240, so write the given fraction in the expression form in terms of denominator as like the below:
= 302/240
= 240 + 62/240

step 3 Make the above expression as individual fractions:
= 240/240 + 62/240

step 4 Simplify the above expression:
= 1 x 240/240 + 62/240
= 1 + 62/240
= 1 + 31 x 2/120 x 2
= 1 + 31/120
1 + 31/120 can be written as a mixed number 1 ³¹/₁₂₀.


step 5 Find the decimal equivalent for the fractional part 31/120 in the above expression:
= 1 + 0.2583
= 1.2583
302/240 = 1.2583

Hence,
302/240 as a decimal is 1.2583
302/240 as a mixed number is 1 ³¹/₁₂₀