130/115 as a Decimal and Mixed Number

130/115 as a decimal and mixed number expansion provides the detailed information about what is 130/115 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

130/115 as a Decimal
130/115 = 1.1304
Hence,
130/115 as a decimal equals to 1.1304
where,
130/115 is a given fraction,
The decimal expansion of 130/115 is 1.1304

130/115 as a Mixed Number
130/115 = (115 + 15)/115
= 115/115 + 15/115
= 1 + 15/115
= 1 15/115
130/115 = 1 15/115

Hence,
130/115 as a mixed number is 1 ¹⁵/₁₁₅
where,
130/115 is a given fraction,
1 ¹⁵/₁₁₅ is the mixed number representation of 130/115.

The below work with steps provide the detailed information about how to convert fraction 130/115 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 130/115

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 130/115.

step 2 The numerator is greater than the denominator of the fraction 130/115, so write the given fraction in the expression form in terms of denominator as like the below:
= 130/115
= 115 + 15/115

step 3 Make the above expression as individual fractions:
= 115/115 + 15/115

step 4 Simplify the above expression:
= 1 x 115/115 + 15/115
= 1 + 15/115
= 1 + 3 x 5/23 x 5
= 1 + 3/23
1 + 3/23 can be written as a mixed number 1 ³/₂₃.


step 5 Find the decimal equivalent for the fractional part 3/23 in the above expression:
= 1 + 0.1304
= 1.1304
130/115 = 1.1304

Hence,
130/115 as a decimal is 1.1304
130/115 as a mixed number is 1 ³/₂₃