317/45 as a Decimal and Mixed Number

317/45 as a decimal and mixed number expansion provides the detailed information about what is 317/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

317/45 as a Decimal
317/45 = 7.0444
Hence,
317/45 as a decimal equals to 7.0444
where,
317/45 is a given fraction,
The decimal expansion of 317/45 is 7.0444

317/45 as a Mixed Number
317/45 = (315 + 2)/45
= 315/45 + 2/45
= 7 + 2/45
= 7 2/45
317/45 = 7 2/45

Hence,
317/45 as a mixed number is 7 ²/₄₅
where,
317/45 is a given fraction,
7 ²/₄₅ is the mixed number representation of 317/45.

The below work with steps provide the detailed information about how to convert fraction 317/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 317/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 317/45.

step 2 The numerator is greater than the denominator of the fraction 317/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 317/45
= 315 + 2/45
= (7 x 45) + 2/45

step 3 Make the above expression as individual fractions:
= (7 x 45)/45 + 2/45

step 4 Simplify the above expression:
= 7 x 45/45 + 2/45
= 7 + 2/45
7 + 2/45 can be written as a mixed number 7 ²/₄₅.


step 5 Find the decimal equivalent for the fractional part 2/45 in the above expression:
= 7 + 0.0444
= 7.0444
317/45 = 7.0444

Hence,
317/45 as a decimal is 7.0444
317/45 as a mixed number is 7 ²/₄₅