318/309 as a Decimal and Mixed Number

318/309 as a decimal and mixed number expansion provides the detailed information about what is 318/309 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

318/309 as a Decimal
318/309 = 1.0291
Hence,
318/309 as a decimal equals to 1.0291
where,
318/309 is a given fraction,
The decimal expansion of 318/309 is 1.0291

318/309 as a Mixed Number
318/309 = (309 + 9)/309
= 309/309 + 9/309
= 1 + 9/309
= 1 9/309
318/309 = 1 9/309

Hence,
318/309 as a mixed number is 1 ⁹/₃₀₉
where,
318/309 is a given fraction,
1 ⁹/₃₀₉ is the mixed number representation of 318/309.

The below work with steps provide the detailed information about how to convert fraction 318/309 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/309

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/309.

step 2 The numerator is greater than the denominator of the fraction 318/309, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/309
= 309 + 9/309

step 3 Make the above expression as individual fractions:
= 309/309 + 9/309

step 4 Simplify the above expression:
= 1 x 309/309 + 9/309
= 1 + 9/309
= 1 + 3 x 3/103 x 3
= 1 + 3/103
1 + 3/103 can be written as a mixed number 1 ³/₁₀₃.


step 5 Find the decimal equivalent for the fractional part 3/103 in the above expression:
= 1 + 0.0291
= 1.0291
318/309 = 1.0291

Hence,
318/309 as a decimal is 1.0291
318/309 as a mixed number is 1 ³/₁₀₃