270/102 as a Decimal and Mixed Number

270/102 as a decimal and mixed number expansion provides the detailed information about what is 270/102 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/102 as a Decimal
270/102 = 2.6471
Hence,
270/102 as a decimal equals to 2.6471
where,
270/102 is a given fraction,
The decimal expansion of 270/102 is 2.6471

270/102 as a Mixed Number
270/102 = (204 + 66)/102
= 204/102 + 66/102
= 2 + 66/102
= 2 66/102
270/102 = 2 66/102

Hence,
270/102 as a mixed number is 2 ⁶⁶/₁₀₂
where,
270/102 is a given fraction,
2 ⁶⁶/₁₀₂ is the mixed number representation of 270/102.

The below work with steps provide the detailed information about how to convert fraction 270/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/102

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/102.

step 2 The numerator is greater than the denominator of the fraction 270/102, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/102
= 204 + 66/102
= (2 x 102) + 66/102

step 3 Make the above expression as individual fractions:
= (2 x 102)/102 + 66/102

step 4 Simplify the above expression:
= 2 x 102/102 + 66/102
= 2 + 66/102
= 2 + 11 x 6/17 x 6
= 2 + 11/17
2 + 11/17 can be written as a mixed number 2 ¹¹/₁₇.


step 5 Find the decimal equivalent for the fractional part 11/17 in the above expression:
= 2 + 0.6471
= 2.6471
270/102 = 2.6471

Hence,
270/102 as a decimal is 2.6471
270/102 as a mixed number is 2 ¹¹/₁₇