315/130 as a Decimal and Mixed Number

315/130 as a decimal and mixed number expansion provides the detailed information about what is 315/130 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/130 as a Decimal
315/130 = 2.4231
Hence,
315/130 as a decimal equals to 2.4231
where,
315/130 is a given fraction,
The decimal expansion of 315/130 is 2.4231

315/130 as a Mixed Number
315/130 = (260 + 55)/130
= 260/130 + 55/130
= 2 + 55/130
= 2 55/130
315/130 = 2 55/130

Hence,
315/130 as a mixed number is 2 ⁵⁵/₁₃₀
where,
315/130 is a given fraction,
2 ⁵⁵/₁₃₀ is the mixed number representation of 315/130.

The below work with steps provide the detailed information about how to convert fraction 315/130 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/130

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/130.

step 2 The numerator is greater than the denominator of the fraction 315/130, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/130
= 260 + 55/130
= (2 x 130) + 55/130

step 3 Make the above expression as individual fractions:
= (2 x 130)/130 + 55/130

step 4 Simplify the above expression:
= 2 x 130/130 + 55/130
= 2 + 55/130
= 2 + 11 x 5/26 x 5
= 2 + 11/26
2 + 11/26 can be written as a mixed number 2 ¹¹/₂₆.


step 5 Find the decimal equivalent for the fractional part 11/26 in the above expression:
= 2 + 0.4231
= 2.4231
315/130 = 2.4231

Hence,
315/130 as a decimal is 2.4231
315/130 as a mixed number is 2 ¹¹/₂₆