find the average of
3 2/9 and 5 1/8 simplify and type a mixed number
Add the two together and divide by 2.
Do I have to find the lcd first
Yes, always. All fractions have to have the same denominator to add.
8 25/72
Not correct.
Post your work so I can see what you are doing wrong, because you are not even close. :)
3 16/72+5 9/72= 8/25/72
What grade are you in?
Unless there is a new way taught for adding fractions, you can't do it like that.
You have to convert each mixed number to a fraction
3 2/9 = 29/9
5 1/8 = 41/8
Then you add
29/9 + 41/8
Find the LCD
232/72 + 369/72 = 601/72
601/72 divided by 2, multiply by 1/2
601/72 * 1/2 = 601/144 = 4 25/144
Ok, sorry, your answer 8 25/72,
was the SUM, not the final answer, which is the average.
8 25/72 is correct for the sum.
You have to divide the sum by 2, for the average.
So however you were adding is correct.
And, ignore how I said that I do it. Do it your way, however you were taught. Your way IS correct.
I just prefer to do it the way I was taught. I don't want to confuse you. :)
To find the average of 3 2/9 and 5 1/8, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
3 2/9 as an improper fraction is ((3 * 9) + 2) / 9 = 29/9.
5 1/8 as an improper fraction is ((5 * 8) + 1) / 8 = 41/8.
Step 2: Find the sum of the fractions.
29/9 + 41/8 = ((29 * 8) + (9 * 41)) / (9 * 8) = (232 + 369) / 72 = 601/72.
Step 3: Simplify the fraction, if possible.
To simplify, divide both the numerator and denominator by their greatest common divisor, which is 1 in this case. Therefore, the simplified fraction is 601/72.
Step 4: Convert the improper fraction back to a mixed number.
To convert the improper fraction to a mixed number, divide the numerator (601) by the denominator (72) and express the quotient as the whole number part and the remainder as the fraction part. 601 divided by 72 is 8 remainder 25, so the mixed number is 8 25/72.
Hence, the average of 3 2/9 and 5 1/8 is 8 25/72.