243/240 as a Decimal and Mixed Number

243/240 as a decimal and mixed number expansion provides the detailed information about what is 243/240 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

243/240 as a Decimal
243/240 = 1.0125
Hence,
243/240 as a decimal equals to 1.0125
where,
243/240 is a given fraction,
The decimal expansion of 243/240 is 1.0125

243/240 as a Mixed Number
243/240 = (240 + 3)/240
= 240/240 + 3/240
= 1 + 3/240
= 1 3/240
243/240 = 1 3/240

Hence,
243/240 as a mixed number is 1 ³/₂₄₀
where,
243/240 is a given fraction,
1 ³/₂₄₀ is the mixed number representation of 243/240.

The below work with steps provide the detailed information about how to convert fraction 243/240 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 243/240

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 243/240.

step 2 The numerator is greater than the denominator of the fraction 243/240, so write the given fraction in the expression form in terms of denominator as like the below:
= 243/240
= 240 + 3/240

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

step 4 Simplify the above expression:
= 1 x 240/240 + 3/240
= 1 + 3/240
= 1 + 1 x 3/80 x 3
= 1 + 1/80
1 + 1/80 can be written as a mixed number 1 ¹/₈₀.


step 5 Find the decimal equivalent for the fractional part 1/80 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (1/80 x 125/125)
= 1 + 125/10000

step 6 Simplify the above expression further:
= 1 + 0.0125
= 1.0125
243/240 = 1.0125

Hence,
243/240 as a decimal is 1.0125
243/240 as a mixed number is 1 ¹/₈₀