278/270 as a Decimal and Mixed Number

278/270 as a decimal and mixed number expansion provides the detailed information about what is 278/270 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

278/270 as a Decimal
278/270 = 1.0296
Hence,
278/270 as a decimal equals to 1.0296
where,
278/270 is a given fraction,
The decimal expansion of 278/270 is 1.0296

278/270 as a Mixed Number
278/270 = (270 + 8)/270
= 270/270 + 8/270
= 1 + 8/270
= 1 8/270
278/270 = 1 8/270

Hence,
278/270 as a mixed number is 1 ⁸/₂₇₀
where,
278/270 is a given fraction,
1 ⁸/₂₇₀ is the mixed number representation of 278/270.

The below work with steps provide the detailed information about how to convert fraction 278/270 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 278/270

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 278/270.

step 2 The numerator is greater than the denominator of the fraction 278/270, so write the given fraction in the expression form in terms of denominator as like the below:
= 278/270
= 270 + 8/270

step 3 Make the above expression as individual fractions:
= 270/270 + 8/270

step 4 Simplify the above expression:
= 1 x 270/270 + 8/270
= 1 + 8/270
= 1 + 4 x 2/135 x 2
= 1 + 4/135
1 + 4/135 can be written as a mixed number 1 ⁴/₁₃₅.


step 5 Find the decimal equivalent for the fractional part 4/135 in the above expression:
= 1 + 0.0296
= 1.0296
278/270 = 1.0296

Hence,
278/270 as a decimal is 1.0296
278/270 as a mixed number is 1 ⁴/₁₃₅