318/296 as a Decimal and Mixed Number

318/296 as a decimal and mixed number expansion provides the detailed information about what is 318/296 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

318/296 as a Decimal
318/296 = 1.0743
Hence,
318/296 as a decimal equals to 1.0743
where,
318/296 is a given fraction,
The decimal expansion of 318/296 is 1.0743

318/296 as a Mixed Number
318/296 = (296 + 22)/296
= 296/296 + 22/296
= 1 + 22/296
= 1 22/296
318/296 = 1 22/296

Hence,
318/296 as a mixed number is 1 ²²/₂₉₆
where,
318/296 is a given fraction,
1 ²²/₂₉₆ is the mixed number representation of 318/296.

The below work with steps provide the detailed information about how to convert fraction 318/296 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/296

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/296.

step 2 The numerator is greater than the denominator of the fraction 318/296, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/296
= 296 + 22/296

step 3 Make the above expression as individual fractions:
= 296/296 + 22/296

step 4 Simplify the above expression:
= 1 x 296/296 + 22/296
= 1 + 22/296
= 1 + 11 x 2/148 x 2
= 1 + 11/148
1 + 11/148 can be written as a mixed number 1 ¹¹/₁₄₈.


step 5 Find the decimal equivalent for the fractional part 11/148 in the above expression:
= 1 + 0.0743
= 1.0743
318/296 = 1.0743

Hence,
318/296 as a decimal is 1.0743
318/296 as a mixed number is 1 ¹¹/₁₄₈