338/160 as a Decimal and Mixed Number

338/160 as a decimal and mixed number expansion provides the detailed information about what is 338/160 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

338/160 as a Decimal
338/160 = 2.1125
Hence,
338/160 as a decimal equals to 2.1125
where,
338/160 is a given fraction,
The decimal expansion of 338/160 is 2.1125

338/160 as a Mixed Number
338/160 = (320 + 18)/160
= 320/160 + 18/160
= 2 + 18/160
= 2 18/160
338/160 = 2 18/160

Hence,
338/160 as a mixed number is 2 ¹⁸/₁₆₀
where,
338/160 is a given fraction,
2 ¹⁸/₁₆₀ is the mixed number representation of 338/160.

The below work with steps provide the detailed information about how to convert fraction 338/160 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 338/160

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 338/160.

step 2 The numerator is greater than the denominator of the fraction 338/160, so write the given fraction in the expression form in terms of denominator as like the below:
= 338/160
= 320 + 18/160
= (2 x 160) + 18/160

step 3 Make the above expression as individual fractions:
= (2 x 160)/160 + 18/160

step 4 Simplify the above expression:
= 2 x 160/160 + 18/160
= 2 + 18/160
= 2 + 9 x 2/80 x 2
= 2 + 9/80
2 + 9/80 can be written as a mixed number 2 ⁹/₈₀.


step 5 Find the decimal equivalent for the fractional part 9/80 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (9/80 x 125/125)
= 2 + 1125/10000

step 6 Simplify the above expression further:
= 2 + 0.1125
= 2.1125
338/160 = 2.1125

Hence,
338/160 as a decimal is 2.1125
338/160 as a mixed number is 2 ⁹/₈₀