245/80 as a Decimal and Mixed Number

245/80 as a decimal and mixed number expansion provides the detailed information about what is 245/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

245/80 as a Decimal
245/80 = 3.0625
Hence,
245/80 as a decimal equals to 3.0625
where,
245/80 is a given fraction,
The decimal expansion of 245/80 is 3.0625

245/80 as a Mixed Number
245/80 = (240 + 5)/80
= 240/80 + 5/80
= 3 + 5/80
= 3 5/80
245/80 = 3 5/80

Hence,
245/80 as a mixed number is 3 ⁵/₈₀
where,
245/80 is a given fraction,
3 ⁵/₈₀ is the mixed number representation of 245/80.

The below work with steps provide the detailed information about how to convert fraction 245/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 245/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 245/80.

step 2 The numerator is greater than the denominator of the fraction 245/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 245/80
= 240 + 5/80
= (3 x 80) + 5/80

step 3 Make the above expression as individual fractions:
= (3 x 80)/80 + 5/80

step 4 Simplify the above expression:
= 3 x 80/80 + 5/80
= 3 + 5/80
= 3 + 1 x 5/16 x 5
= 3 + 1/16
3 + 1/16 can be written as a mixed number 3 ¹/₁₆.


step 5 Find the decimal equivalent for the fractional part 1/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 3 + (1/16 x 625/625)
= 3 + 625/10000

step 6 Simplify the above expression further:
= 3 + 0.0625
= 3.0625
245/80 = 3.0625

Hence,
245/80 as a decimal is 3.0625
245/80 as a mixed number is 3 ¹/₁₆