247/80 as a Decimal and Mixed Number

247/80 as a decimal and mixed number expansion provides the detailed information about what is 247/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

247/80 as a Decimal
247/80 = 3.0875
Hence,
247/80 as a decimal equals to 3.0875
where,
247/80 is a given fraction,
The decimal expansion of 247/80 is 3.0875

247/80 as a Mixed Number
247/80 = (240 + 7)/80
= 240/80 + 7/80
= 3 + 7/80
= 3 7/80
247/80 = 3 7/80

Hence,
247/80 as a mixed number is 3 ⁷/₈₀
where,
247/80 is a given fraction,
3 ⁷/₈₀ is the mixed number representation of 247/80.

The below work with steps provide the detailed information about how to convert fraction 247/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 247/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 247/80.

step 2 The numerator is greater than the denominator of the fraction 247/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 247/80
= 240 + 7/80
= (3 x 80) + 7/80

step 3 Make the above expression as individual fractions:
= (3 x 80)/80 + 7/80

step 4 Simplify the above expression:
= 3 x 80/80 + 7/80
= 3 + 7/80
3 + 7/80 can be written as a mixed number 3 ⁷/₈₀.


step 5 Find the decimal equivalent for the fractional part 7/80 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 3 + (7/80 x 125/125)
= 3 + 875/10000

step 6 Simplify the above expression further:
= 3 + 0.0875
= 3.0875
247/80 = 3.0875

Hence,
247/80 as a decimal is 3.0875
247/80 as a mixed number is 3 ⁷/₈₀