323/275 as a Decimal and Mixed Number

323/275 as a decimal and mixed number expansion provides the detailed information about what is 323/275 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

323/275 as a Decimal
323/275 = 1.1745
Hence,
323/275 as a decimal equals to 1.1745
where,
323/275 is a given fraction,
The decimal expansion of 323/275 is 1.1745

323/275 as a Mixed Number
323/275 = (275 + 48)/275
= 275/275 + 48/275
= 1 + 48/275
= 1 48/275
323/275 = 1 48/275

Hence,
323/275 as a mixed number is 1 ⁴⁸/₂₇₅
where,
323/275 is a given fraction,
1 ⁴⁸/₂₇₅ is the mixed number representation of 323/275.

The below work with steps provide the detailed information about how to convert fraction 323/275 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 323/275

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 323/275.

step 2 The numerator is greater than the denominator of the fraction 323/275, so write the given fraction in the expression form in terms of denominator as like the below:
= 323/275
= 275 + 48/275

step 3 Make the above expression as individual fractions:
= 275/275 + 48/275

step 4 Simplify the above expression:
= 1 x 275/275 + 48/275
= 1 + 48/275
1 + 48/275 can be written as a mixed number 1 ⁴⁸/₂₇₅.


step 5 Find the decimal equivalent for the fractional part 48/275 in the above expression:
= 1 + 0.1745
= 1.1745
323/275 = 1.1745

Hence,
323/275 as a decimal is 1.1745
323/275 as a mixed number is 1 ⁴⁸/₂₇₅