245/98 as a Decimal and Mixed Number

245/98 as a decimal and mixed number expansion provides the detailed information about what is 245/98 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

245/98 as a Decimal
245/98 = 2.5
Hence,
245/98 as a decimal equals to 2.5
where,
245/98 is a given fraction,
The decimal expansion of 245/98 is 2.5

245/98 as a Mixed Number
245/98 = (196 + 49)/98
= 196/98 + 49/98
= 2 + 49/98
= 2 49/98
245/98 = 2 49/98

Hence,
245/98 as a mixed number is 2 ⁴⁹/₉₈
where,
245/98 is a given fraction,
2 ⁴⁹/₉₈ is the mixed number representation of 245/98.

The below work with steps provide the detailed information about how to convert fraction 245/98 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 245/98

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 245/98.

step 2 The numerator is greater than the denominator of the fraction 245/98, so write the given fraction in the expression form in terms of denominator as like the below:
= 245/98
= 196 + 49/98
= (2 x 98) + 49/98

step 3 Make the above expression as individual fractions:
= (2 x 98)/98 + 49/98

step 4 Simplify the above expression:
= 2 x 98/98 + 49/98
= 2 + 49/98
= 2 + 1 x 49/2 x 49
= 2 + 1/2
2 + 1/2 can be written as a mixed number 2 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 2 + (1/2 x 5/5)
= 2 + 5/10

step 6 Simplify the above expression further:
= 2 + 0.5
= 2.5
245/98 = 2.5

Hence,
245/98 as a decimal is 2.5
245/98 as a mixed number is 2 ¹/₂