238/98 as a Decimal and Mixed Number

238/98 as a decimal and mixed number expansion provides the detailed information about what is 238/98 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

238/98 as a Decimal
238/98 = 2.4286
Hence,
238/98 as a decimal equals to 2.4286
where,
238/98 is a given fraction,
The decimal expansion of 238/98 is 2.4286

238/98 as a Mixed Number
238/98 = (196 + 42)/98
= 196/98 + 42/98
= 2 + 42/98
= 2 42/98
238/98 = 2 42/98

Hence,
238/98 as a mixed number is 2 ⁴²/₉₈
where,
238/98 is a given fraction,
2 ⁴²/₉₈ is the mixed number representation of 238/98.

The below work with steps provide the detailed information about how to convert fraction 238/98 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 238/98

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 238/98.

step 2 The numerator is greater than the denominator of the fraction 238/98, so write the given fraction in the expression form in terms of denominator as like the below:
= 238/98
= 196 + 42/98
= (2 x 98) + 42/98

step 3 Make the above expression as individual fractions:
= (2 x 98)/98 + 42/98

step 4 Simplify the above expression:
= 2 x 98/98 + 42/98
= 2 + 42/98
= 2 + 3 x 14/7 x 14
= 2 + 3/7
2 + 3/7 can be written as a mixed number 2 ³/₇.


step 5 Find the decimal equivalent for the fractional part 3/7 in the above expression:
= 2 + 0.4286
= 2.4286
238/98 = 2.4286

Hence,
238/98 as a decimal is 2.4286
238/98 as a mixed number is 2 ³/₇