315/298 as a Decimal and Mixed Number

315/298 as a decimal and mixed number expansion provides the detailed information about what is 315/298 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/298 as a Decimal
315/298 = 1.057
Hence,
315/298 as a decimal equals to 1.057
where,
315/298 is a given fraction,
The decimal expansion of 315/298 is 1.057

315/298 as a Mixed Number
315/298 = (298 + 17)/298
= 298/298 + 17/298
= 1 + 17/298
= 1 17/298
315/298 = 1 17/298

Hence,
315/298 as a mixed number is 1 ¹⁷/₂₉₈
where,
315/298 is a given fraction,
1 ¹⁷/₂₉₈ is the mixed number representation of 315/298.

The below work with steps provide the detailed information about how to convert fraction 315/298 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/298

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/298.

step 2 The numerator is greater than the denominator of the fraction 315/298, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/298
= 298 + 17/298

step 3 Make the above expression as individual fractions:
= 298/298 + 17/298

step 4 Simplify the above expression:
= 1 x 298/298 + 17/298
= 1 + 17/298
1 + 17/298 can be written as a mixed number 1 ¹⁷/₂₉₈.


step 5 Find the decimal equivalent for the fractional part 17/298 in the above expression:
= 1 + 0.057
= 1.057
315/298 = 1.057

Hence,
315/298 as a decimal is 1.057
315/298 as a mixed number is 1 ¹⁷/₂₉₈