Question

Add or subtract the following mixed numbers. First change each mixed number to an equivalent improper fraction. Then find a common denominator, and proceed as before. Leave your answer as an improper fraction. Be sure your answers are reduced to lowest terms.

1 4/9 + 3 1/3 =


(options)
53/12

23/12

43/9

23/9

Answer 1

13/9+10/3
=13/9+30/9

Answer 2

proceed like this,, so u have common denominator 9

Answer 3

do you know how to change them to improper fractions ?

Answer 4

can you show me from start to finish?

Answer 5

yes...I can

1 4/9.....take your whole number (1) and multiply it by the denominator (9), which equals 9, then add that to your numerator (4), which is 4 + 9 = 13, then put that number over the original denominator (9), and that gives us : 13/9

3 1/3....whole number (3) multiplied by denominator (3), giving us 9, then add it to the numerator (1), giving us 10, and putting it over original denominator (3), giving us : 10/3

do you understand so far ? Because that is how you change a mixed number to an improper fraction. any questions so far ?

Answer 6

no keep goin

Answer 7

so now we have :
13/9 + 10/3....but you cannot add/subtract fractions unless you have a common denominator. So we have to make both fractions have the same denominator.
So what number does 9 and 3 both go into evenly ? That would be 9. So we have to make both these fractions have a common denominator of 9.

13/9 -- already has a common denominator of 9, so we do not have to do anything to this one.

10/3 = x/9......we need to find x...3 goes into 9 how many times ? It goes in there 3 times. Now take that 3 and multiply it by the numerator 10, giving us 30...making our fraction 30/9

so now we have : 13/9 + 30/9....now we can add them...just the numerators, the denominators stay the same...giving us 43/9

do you understand ? Because if you don't, I can go over it again.

Answer 8

If you do not understand, I can show you another way

Answer 9

lol yea thanks for the explanation better than school

Answer 10

glad I could help :)

Answer 11

so you really understand...because, like I said, I can show you another way if needed ?

Answer 12

well i got this one that is a bit different can you explain?

Add or subtract the following mixed numbers using the first method. Be sure your answers are in mixed number format and reduced to lowest terms.

5 5/9 - 3 1/3 =


(options)
2 2/9

2 1/3

2 5/6

2 4/9

Answer 13

ok...turning to mixed numbers

5 5/9 -- whole number (5) multiplied by denominator (9), which is 45, added to numerator (5), which is 50...put over original denominator (9), which gives us :
50/9

3 1/3 = (3 * 3 + 1) / 3 = 10/3

so now we have :
50/9 - 10/3 --- common denominator is 9

50/9 -- stays the same

10/3 ... here is the other way...we have to find an equivalent fraction for 10/3 that has a denominator of 9. Equivalent fractions can be found by multiplying the numerator and denominator by the same number...for example :
10/3 * 2/2 = 20/6....10/3 is equivalent to 20/6
10/3 * 4/4 = 40/12...10/3 is equivalent to 40/12

we have to find the equivalent fraction for 10/3 that has a denominator of 9.
10 x
--- = ----
3 9

3 times what is 9 ? 3 times 3 is 9...so if we are multiplying the denominato by 3 to get 9, then we have to multiply the numerator by 3 as well.

10 3 30
--- * ---- = -----
3 3 9

so now we have :
50/9 - 30/9 ... subtract the numerators, do nothing to the denominators.
giving us : 20/9

but now we have to turn it back into a mixed number..
20/9 ... how many times does 9 go into 20 without going over ? That would be 2 times...so 2 is your whole number.

2 * 9 = 18....now take your numerator and subtract 18....20 - 18 = 2....that difference is your numerator....the denominator stays the same.
So your mixed number is : 2 2/9....and that is the final answer because it does not reduce.

any better ? Or did I just confuse the crap out of you ?

Answer 14

I didn't mean to write you a book...I am just trying to explain it to you so you can understand

Answer 15

let me know if you have any questions

Answer 16

it helps alot thanks id give you another medel if i could

Answer 17

no worries....I am not here for the medals

Answer 18

well thanks