256/240 as a Decimal and Mixed Number

256/240 as a decimal and mixed number expansion provides the detailed information about what is 256/240 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

256/240 as a Decimal
256/240 = 1.0667
Hence,
256/240 as a decimal equals to 1.0667
where,
256/240 is a given fraction,
The decimal expansion of 256/240 is 1.0667

256/240 as a Mixed Number
256/240 = (240 + 16)/240
= 240/240 + 16/240
= 1 + 16/240
= 1 16/240
256/240 = 1 16/240

Hence,
256/240 as a mixed number is 1 ¹⁶/₂₄₀
where,
256/240 is a given fraction,
1 ¹⁶/₂₄₀ is the mixed number representation of 256/240.

The below work with steps provide the detailed information about how to convert fraction 256/240 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 256/240

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 256/240.

step 2 The numerator is greater than the denominator of the fraction 256/240, so write the given fraction in the expression form in terms of denominator as like the below:
= 256/240
= 240 + 16/240

step 3 Make the above expression as individual fractions:
= 240/240 + 16/240

step 4 Simplify the above expression:
= 1 x 240/240 + 16/240
= 1 + 16/240
= 1 + 1 x 16/15 x 16
= 1 + 1/15
1 + 1/15 can be written as a mixed number 1 ¹/₁₅.


step 5 Find the decimal equivalent for the fractional part 1/15 in the above expression:
= 1 + 0.0667
= 1.0667
256/240 = 1.0667

Hence,
256/240 as a decimal is 1.0667
256/240 as a mixed number is 1 ¹/₁₅