295/240 as a Decimal and Mixed Number

295/240 as a decimal and mixed number expansion provides the detailed information about what is 295/240 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

295/240 as a Decimal
295/240 = 1.2292
Hence,
295/240 as a decimal equals to 1.2292
where,
295/240 is a given fraction,
The decimal expansion of 295/240 is 1.2292

295/240 as a Mixed Number
295/240 = (240 + 55)/240
= 240/240 + 55/240
= 1 + 55/240
= 1 55/240
295/240 = 1 55/240

Hence,
295/240 as a mixed number is 1 ⁵⁵/₂₄₀
where,
295/240 is a given fraction,
1 ⁵⁵/₂₄₀ is the mixed number representation of 295/240.

The below work with steps provide the detailed information about how to convert fraction 295/240 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 295/240

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 295/240.

step 2 The numerator is greater than the denominator of the fraction 295/240, so write the given fraction in the expression form in terms of denominator as like the below:
= 295/240
= 240 + 55/240

step 3 Make the above expression as individual fractions:
= 240/240 + 55/240

step 4 Simplify the above expression:
= 1 x 240/240 + 55/240
= 1 + 55/240
= 1 + 11 x 5/48 x 5
= 1 + 11/48
1 + 11/48 can be written as a mixed number 1 ¹¹/₄₈.


step 5 Find the decimal equivalent for the fractional part 11/48 in the above expression:
= 1 + 0.2292
= 1.2292
295/240 = 1.2292

Hence,
295/240 as a decimal is 1.2292
295/240 as a mixed number is 1 ¹¹/₄₈