323/45 as a Decimal and Mixed Number

323/45 as a decimal and mixed number expansion provides the detailed information about what is 323/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

323/45 as a Decimal
323/45 = 7.1778
Hence,
323/45 as a decimal equals to 7.1778
where,
323/45 is a given fraction,
The decimal expansion of 323/45 is 7.1778

323/45 as a Mixed Number
323/45 = (315 + 8)/45
= 315/45 + 8/45
= 7 + 8/45
= 7 8/45
323/45 = 7 8/45

Hence,
323/45 as a mixed number is 7 ⁸/₄₅
where,
323/45 is a given fraction,
7 ⁸/₄₅ is the mixed number representation of 323/45.

The below work with steps provide the detailed information about how to convert fraction 323/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 323/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 323/45.

step 2 The numerator is greater than the denominator of the fraction 323/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 323/45
= 315 + 8/45
= (7 x 45) + 8/45

step 3 Make the above expression as individual fractions:
= (7 x 45)/45 + 8/45

step 4 Simplify the above expression:
= 7 x 45/45 + 8/45
= 7 + 8/45
7 + 8/45 can be written as a mixed number 7 ⁸/₄₅.


step 5 Find the decimal equivalent for the fractional part 8/45 in the above expression:
= 7 + 0.1778
= 7.1778
323/45 = 7.1778

Hence,
323/45 as a decimal is 7.1778
323/45 as a mixed number is 7 ⁸/₄₅