130/116 as a Decimal and Mixed Number

130/116 as a decimal and mixed number expansion provides the detailed information about what is 130/116 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

130/116 as a Decimal
130/116 = 1.1207
Hence,
130/116 as a decimal equals to 1.1207
where,
130/116 is a given fraction,
The decimal expansion of 130/116 is 1.1207

130/116 as a Mixed Number
130/116 = (116 + 14)/116
= 116/116 + 14/116
= 1 + 14/116
= 1 14/116
130/116 = 1 14/116

Hence,
130/116 as a mixed number is 1 ¹⁴/₁₁₆
where,
130/116 is a given fraction,
1 ¹⁴/₁₁₆ is the mixed number representation of 130/116.

The below work with steps provide the detailed information about how to convert fraction 130/116 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 130/116

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 130/116.

step 2 The numerator is greater than the denominator of the fraction 130/116, so write the given fraction in the expression form in terms of denominator as like the below:
= 130/116
= 116 + 14/116

step 3 Make the above expression as individual fractions:
= 116/116 + 14/116

step 4 Simplify the above expression:
= 1 x 116/116 + 14/116
= 1 + 14/116
= 1 + 7 x 2/58 x 2
= 1 + 7/58
1 + 7/58 can be written as a mixed number 1 ⁷/₅₈.


step 5 Find the decimal equivalent for the fractional part 7/58 in the above expression:
= 1 + 0.1207
= 1.1207
130/116 = 1.1207

Hence,
130/116 as a decimal is 1.1207
130/116 as a mixed number is 1 ⁷/₅₈