299/260 as a Decimal and Mixed Number

299/260 as a decimal and mixed number expansion provides the detailed information about what is 299/260 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

299/260 as a Decimal
299/260 = 1.15
Hence,
299/260 as a decimal equals to 1.15
where,
299/260 is a given fraction,
The decimal expansion of 299/260 is 1.15

299/260 as a Mixed Number
299/260 = (260 + 39)/260
= 260/260 + 39/260
= 1 + 39/260
= 1 39/260
299/260 = 1 39/260

Hence,
299/260 as a mixed number is 1 ³⁹/₂₆₀
where,
299/260 is a given fraction,
1 ³⁹/₂₆₀ is the mixed number representation of 299/260.

The below work with steps provide the detailed information about how to convert fraction 299/260 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 299/260

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 299/260.

step 2 The numerator is greater than the denominator of the fraction 299/260, so write the given fraction in the expression form in terms of denominator as like the below:
= 299/260
= 260 + 39/260

step 3 Make the above expression as individual fractions:
= 260/260 + 39/260

step 4 Simplify the above expression:
= 1 x 260/260 + 39/260
= 1 + 39/260
= 1 + 3 x 13/20 x 13
= 1 + 3/20
1 + 3/20 can be written as a mixed number 1 ³/₂₀.


step 5 Find the decimal equivalent for the fractional part 3/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (3/20 x 5/5)
= 1 + 15/100

step 6 Simplify the above expression further:
= 1 + 0.15
= 1.15
299/260 = 1.15

Hence,
299/260 as a decimal is 1.15
299/260 as a mixed number is 1 ³/₂₀