298/160 as a Decimal and Mixed Number

298/160 as a decimal and mixed number expansion provides the detailed information about what is 298/160 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

298/160 as a Decimal
298/160 = 1.8625
Hence,
298/160 as a decimal equals to 1.8625
where,
298/160 is a given fraction,
The decimal expansion of 298/160 is 1.8625

298/160 as a Mixed Number
298/160 = (160 + 138)/160
= 160/160 + 138/160
= 1 + 138/160
= 1 138/160
298/160 = 1 138/160

Hence,
298/160 as a mixed number is 1 ¹³⁸/₁₆₀
where,
298/160 is a given fraction,
1 ¹³⁸/₁₆₀ is the mixed number representation of 298/160.

The below work with steps provide the detailed information about how to convert fraction 298/160 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 298/160

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 298/160.

step 2 The numerator is greater than the denominator of the fraction 298/160, so write the given fraction in the expression form in terms of denominator as like the below:
= 298/160
= 160 + 138/160

step 3 Make the above expression as individual fractions:
= 160/160 + 138/160

step 4 Simplify the above expression:
= 1 x 160/160 + 138/160
= 1 + 138/160
= 1 + 69 x 2/80 x 2
= 1 + 69/80
1 + 69/80 can be written as a mixed number 1 ⁶⁹/₈₀.


step 5 Find the decimal equivalent for the fractional part 69/80 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (69/80 x 125/125)
= 1 + 8625/10000

step 6 Simplify the above expression further:
= 1 + 0.8625
= 1.8625
298/160 = 1.8625

Hence,
298/160 as a decimal is 1.8625
298/160 as a mixed number is 1 ⁶⁹/₈₀