270/130 as a Decimal and Mixed Number

270/130 as a decimal and mixed number expansion provides the detailed information about what is 270/130 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/130 as a Decimal
270/130 = 2.0769
Hence,
270/130 as a decimal equals to 2.0769
where,
270/130 is a given fraction,
The decimal expansion of 270/130 is 2.0769

270/130 as a Mixed Number
270/130 = (260 + 10)/130
= 260/130 + 10/130
= 2 + 10/130
= 2 10/130
270/130 = 2 10/130

Hence,
270/130 as a mixed number is 2 ¹⁰/₁₃₀
where,
270/130 is a given fraction,
2 ¹⁰/₁₃₀ is the mixed number representation of 270/130.

The below work with steps provide the detailed information about how to convert fraction 270/130 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/130

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/130.

step 2 The numerator is greater than the denominator of the fraction 270/130, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/130
= 260 + 10/130
= (2 x 130) + 10/130

step 3 Make the above expression as individual fractions:
= (2 x 130)/130 + 10/130

step 4 Simplify the above expression:
= 2 x 130/130 + 10/130
= 2 + 10/130
= 2 + 1 x 10/13 x 10
= 2 + 1/13
2 + 1/13 can be written as a mixed number 2 ¹/₁₃.


step 5 Find the decimal equivalent for the fractional part 1/13 in the above expression:
= 2 + 0.0769
= 2.0769
270/130 = 2.0769

Hence,
270/130 as a decimal is 2.0769
270/130 as a mixed number is 2 ¹/₁₃