245/102 as a Decimal and Mixed Number

245/102 as a decimal and mixed number expansion provides the detailed information about what is 245/102 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

245/102 as a Decimal
245/102 = 2.402
Hence,
245/102 as a decimal equals to 2.402
where,
245/102 is a given fraction,
The decimal expansion of 245/102 is 2.402

245/102 as a Mixed Number
245/102 = (204 + 41)/102
= 204/102 + 41/102
= 2 + 41/102
= 2 41/102
245/102 = 2 41/102

Hence,
245/102 as a mixed number is 2 ⁴¹/₁₀₂
where,
245/102 is a given fraction,
2 ⁴¹/₁₀₂ is the mixed number representation of 245/102.

The below work with steps provide the detailed information about how to convert fraction 245/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 245/102

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 245/102.

step 2 The numerator is greater than the denominator of the fraction 245/102, so write the given fraction in the expression form in terms of denominator as like the below:
= 245/102
= 204 + 41/102
= (2 x 102) + 41/102

step 3 Make the above expression as individual fractions:
= (2 x 102)/102 + 41/102

step 4 Simplify the above expression:
= 2 x 102/102 + 41/102
= 2 + 41/102
2 + 41/102 can be written as a mixed number 2 ⁴¹/₁₀₂.


step 5 Find the decimal equivalent for the fractional part 41/102 in the above expression:
= 2 + 0.402
= 2.402
245/102 = 2.402

Hence,
245/102 as a decimal is 2.402
245/102 as a mixed number is 2 ⁴¹/₁₀₂