320/298 as a Decimal and Mixed Number

320/298 as a decimal and mixed number expansion provides the detailed information about what is 320/298 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/298 as a Decimal
320/298 = 1.0738
Hence,
320/298 as a decimal equals to 1.0738
where,
320/298 is a given fraction,
The decimal expansion of 320/298 is 1.0738

320/298 as a Mixed Number
320/298 = (298 + 22)/298
= 298/298 + 22/298
= 1 + 22/298
= 1 22/298
320/298 = 1 22/298

Hence,
320/298 as a mixed number is 1 ²²/₂₉₈
where,
320/298 is a given fraction,
1 ²²/₂₉₈ is the mixed number representation of 320/298.

The below work with steps provide the detailed information about how to convert fraction 320/298 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/298

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/298.

step 2 The numerator is greater than the denominator of the fraction 320/298, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/298
= 298 + 22/298

step 3 Make the above expression as individual fractions:
= 298/298 + 22/298

step 4 Simplify the above expression:
= 1 x 298/298 + 22/298
= 1 + 22/298
= 1 + 11 x 2/149 x 2
= 1 + 11/149
1 + 11/149 can be written as a mixed number 1 ¹¹/₁₄₉.


step 5 Find the decimal equivalent for the fractional part 11/149 in the above expression:
= 1 + 0.0738
= 1.0738
320/298 = 1.0738

Hence,
320/298 as a decimal is 1.0738
320/298 as a mixed number is 1 ¹¹/₁₄₉