328/320 as a Decimal and Mixed Number

328/320 as a decimal and mixed number expansion provides the detailed information about what is 328/320 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

328/320 as a Decimal
328/320 = 1.025
Hence,
328/320 as a decimal equals to 1.025
where,
328/320 is a given fraction,
The decimal expansion of 328/320 is 1.025

328/320 as a Mixed Number
328/320 = (320 + 8)/320
= 320/320 + 8/320
= 1 + 8/320
= 1 8/320
328/320 = 1 8/320

Hence,
328/320 as a mixed number is 1 ⁸/₃₂₀
where,
328/320 is a given fraction,
1 ⁸/₃₂₀ is the mixed number representation of 328/320.

The below work with steps provide the detailed information about how to convert fraction 328/320 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 328/320

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 328/320.

step 2 The numerator is greater than the denominator of the fraction 328/320, so write the given fraction in the expression form in terms of denominator as like the below:
= 328/320
= 320 + 8/320

step 3 Make the above expression as individual fractions:
= 320/320 + 8/320

step 4 Simplify the above expression:
= 1 x 320/320 + 8/320
= 1 + 8/320
= 1 + 1 x 8/40 x 8
= 1 + 1/40
1 + 1/40 can be written as a mixed number 1 ¹/₄₀.


step 5 Find the decimal equivalent for the fractional part 1/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (1/40 x 25/25)
= 1 + 25/1000

step 6 Simplify the above expression further:
= 1 + 0.025
= 1.025
328/320 = 1.025

Hence,
328/320 as a decimal is 1.025
328/320 as a mixed number is 1 ¹/₄₀