316/298 as a Decimal and Mixed Number

316/298 as a decimal and mixed number expansion provides the detailed information about what is 316/298 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

316/298 as a Decimal
316/298 = 1.0604
Hence,
316/298 as a decimal equals to 1.0604
where,
316/298 is a given fraction,
The decimal expansion of 316/298 is 1.0604

316/298 as a Mixed Number
316/298 = (298 + 18)/298
= 298/298 + 18/298
= 1 + 18/298
= 1 18/298
316/298 = 1 18/298

Hence,
316/298 as a mixed number is 1 ¹⁸/₂₉₈
where,
316/298 is a given fraction,
1 ¹⁸/₂₉₈ is the mixed number representation of 316/298.

The below work with steps provide the detailed information about how to convert fraction 316/298 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 316/298

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 316/298.

step 2 The numerator is greater than the denominator of the fraction 316/298, so write the given fraction in the expression form in terms of denominator as like the below:
= 316/298
= 298 + 18/298

step 3 Make the above expression as individual fractions:
= 298/298 + 18/298

step 4 Simplify the above expression:
= 1 x 298/298 + 18/298
= 1 + 18/298
= 1 + 9 x 2/149 x 2
= 1 + 9/149
1 + 9/149 can be written as a mixed number 1 ⁹/₁₄₉.


step 5 Find the decimal equivalent for the fractional part 9/149 in the above expression:
= 1 + 0.0604
= 1.0604
316/298 = 1.0604

Hence,
316/298 as a decimal is 1.0604
316/298 as a mixed number is 1 ⁹/₁₄₉