357/240 as a Decimal and Mixed Number

357/240 as a decimal and mixed number expansion provides the detailed information about what is 357/240 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

357/240 as a Decimal
357/240 = 1.4875
Hence,
357/240 as a decimal equals to 1.4875
where,
357/240 is a given fraction,
The decimal expansion of 357/240 is 1.4875

357/240 as a Mixed Number
357/240 = (240 + 117)/240
= 240/240 + 117/240
= 1 + 117/240
= 1 117/240
357/240 = 1 117/240

Hence,
357/240 as a mixed number is 1 ¹¹⁷/₂₄₀
where,
357/240 is a given fraction,
1 ¹¹⁷/₂₄₀ is the mixed number representation of 357/240.

The below work with steps provide the detailed information about how to convert fraction 357/240 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 357/240

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 357/240.

step 2 The numerator is greater than the denominator of the fraction 357/240, so write the given fraction in the expression form in terms of denominator as like the below:
= 357/240
= 240 + 117/240

step 3 Make the above expression as individual fractions:
= 240/240 + 117/240

step 4 Simplify the above expression:
= 1 x 240/240 + 117/240
= 1 + 117/240
= 1 + 39 x 3/80 x 3
= 1 + 39/80
1 + 39/80 can be written as a mixed number 1 ³⁹/₈₀.


step 5 Find the decimal equivalent for the fractional part 39/80 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (39/80 x 125/125)
= 1 + 4875/10000

step 6 Simplify the above expression further:
= 1 + 0.4875
= 1.4875
357/240 = 1.4875

Hence,
357/240 as a decimal is 1.4875
357/240 as a mixed number is 1 ³⁹/₈₀