318/118 as a Decimal and Mixed Number

318/118 as a decimal and mixed number expansion provides the detailed information about what is 318/118 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

318/118 as a Decimal
318/118 = 2.6949
Hence,
318/118 as a decimal equals to 2.6949
where,
318/118 is a given fraction,
The decimal expansion of 318/118 is 2.6949

318/118 as a Mixed Number
318/118 = (236 + 82)/118
= 236/118 + 82/118
= 2 + 82/118
= 2 82/118
318/118 = 2 82/118

Hence,
318/118 as a mixed number is 2 ⁸²/₁₁₈
where,
318/118 is a given fraction,
2 ⁸²/₁₁₈ is the mixed number representation of 318/118.

The below work with steps provide the detailed information about how to convert fraction 318/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/118

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/118.

step 2 The numerator is greater than the denominator of the fraction 318/118, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/118
= 236 + 82/118
= (2 x 118) + 82/118

step 3 Make the above expression as individual fractions:
= (2 x 118)/118 + 82/118

step 4 Simplify the above expression:
= 2 x 118/118 + 82/118
= 2 + 82/118
= 2 + 41 x 2/59 x 2
= 2 + 41/59
2 + 41/59 can be written as a mixed number 2 ⁴¹/₅₉.


step 5 Find the decimal equivalent for the fractional part 41/59 in the above expression:
= 2 + 0.6949
= 2.6949
318/118 = 2.6949

Hence,
318/118 as a decimal is 2.6949
318/118 as a mixed number is 2 ⁴¹/₅₉