245/196 as a Decimal and Mixed Number

245/196 as a decimal and mixed number expansion provides the detailed information about what is 245/196 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

245/196 as a Decimal
245/196 = 1.25
Hence,
245/196 as a decimal equals to 1.25
where,
245/196 is a given fraction,
The decimal expansion of 245/196 is 1.25

245/196 as a Mixed Number
245/196 = (196 + 49)/196
= 196/196 + 49/196
= 1 + 49/196
= 1 49/196
245/196 = 1 49/196

Hence,
245/196 as a mixed number is 1 ⁴⁹/₁₉₆
where,
245/196 is a given fraction,
1 ⁴⁹/₁₉₆ is the mixed number representation of 245/196.

The below work with steps provide the detailed information about how to convert fraction 245/196 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 245/196

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 245/196.

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

step 3 Make the above expression as individual fractions:
= 196/196 + 49/196

step 4 Simplify the above expression:
= 1 x 196/196 + 49/196
= 1 + 49/196
= 1 + 1 x 49/4 x 49
= 1 + 1/4
1 + 1/4 can be written as a mixed number 1 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (1/4 x 25/25)
= 1 + 25/100

step 6 Simplify the above expression further:
= 1 + 0.25
= 1.25
245/196 = 1.25

Hence,
245/196 as a decimal is 1.25
245/196 as a mixed number is 1 ¹/₄