337/45 as a Decimal and Mixed Number

337/45 as a decimal and mixed number expansion provides the detailed information about what is 337/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

337/45 as a Decimal
337/45 = 7.4889
Hence,
337/45 as a decimal equals to 7.4889
where,
337/45 is a given fraction,
The decimal expansion of 337/45 is 7.4889

337/45 as a Mixed Number
337/45 = (315 + 22)/45
= 315/45 + 22/45
= 7 + 22/45
= 7 22/45
337/45 = 7 22/45

Hence,
337/45 as a mixed number is 7 ²²/₄₅
where,
337/45 is a given fraction,
7 ²²/₄₅ is the mixed number representation of 337/45.

The below work with steps provide the detailed information about how to convert fraction 337/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 337/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 337/45.

step 2 The numerator is greater than the denominator of the fraction 337/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 337/45
= 315 + 22/45
= (7 x 45) + 22/45

step 3 Make the above expression as individual fractions:
= (7 x 45)/45 + 22/45

step 4 Simplify the above expression:
= 7 x 45/45 + 22/45
= 7 + 22/45
7 + 22/45 can be written as a mixed number 7 ²²/₄₅.


step 5 Find the decimal equivalent for the fractional part 22/45 in the above expression:
= 7 + 0.4889
= 7.4889
337/45 = 7.4889

Hence,
337/45 as a decimal is 7.4889
337/45 as a mixed number is 7 ²²/₄₅