316/296 as a Decimal and Mixed Number

316/296 as a decimal and mixed number expansion provides the detailed information about what is 316/296 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

316/296 as a Decimal
316/296 = 1.0676
Hence,
316/296 as a decimal equals to 1.0676
where,
316/296 is a given fraction,
The decimal expansion of 316/296 is 1.0676

316/296 as a Mixed Number
316/296 = (296 + 20)/296
= 296/296 + 20/296
= 1 + 20/296
= 1 20/296
316/296 = 1 20/296

Hence,
316/296 as a mixed number is 1 ²⁰/₂₉₆
where,
316/296 is a given fraction,
1 ²⁰/₂₉₆ is the mixed number representation of 316/296.

The below work with steps provide the detailed information about how to convert fraction 316/296 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 316/296

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 316/296.

step 2 The numerator is greater than the denominator of the fraction 316/296, so write the given fraction in the expression form in terms of denominator as like the below:
= 316/296
= 296 + 20/296

step 3 Make the above expression as individual fractions:
= 296/296 + 20/296

step 4 Simplify the above expression:
= 1 x 296/296 + 20/296
= 1 + 20/296
= 1 + 5 x 4/74 x 4
= 1 + 5/74
1 + 5/74 can be written as a mixed number 1 ⁵/₇₄.


step 5 Find the decimal equivalent for the fractional part 5/74 in the above expression:
= 1 + 0.0676
= 1.0676
316/296 = 1.0676

Hence,
316/296 as a decimal is 1.0676
316/296 as a mixed number is 1 ⁵/₇₄