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Calniz
Hey there, Yanisa!

Let's do this step by step.
The first two
 [tex]15 \frac{9}{12} + 8\frac{13}{17} [/tex]

We need to convert them into improper fraction
[tex]a \frac{b}{c} --\ \textgreater \ \frac{(a*c)+b}{c} [/tex]

So, 15 times 12 is equal to 180 plus 9 is 189 [tex] \frac{189}{12} [/tex]
This will be our new fraction.
Now the other fraction is 8[tex] \frac{13}{17} [/tex]
We do the same steps
8 times 17 is equals to 136 plus 13 is 149
So, our other fraction is [tex] \frac{149}{17} [/tex]

Let's do the other two fractions
23 [tex] \frac{3}{12} [/tex] and [tex]25 \frac{4}{17} [/tex]

For the first one we do the same steps.
23 times 12 is equals to 276 plus 3 is equals to 279 and our new fraction will be [tex] \frac{279}{12} [/tex]

Now the other fraction, same steps
25 times 17 is equals to 425 plus 4 is 429
and our new fraction is [tex] \frac{429}{17} [/tex]

Now we have four fractions in total.
[tex] \frac{189}{12} + \frac{149}{17} + \frac{279}{12} + \frac{429}{17} [/tex]

Now, we add the fractions that have a common denominator (the number on the bottom)
We have
[tex] \frac{189}{12} + \frac{279}{12} [/tex] which would give you an equal of [tex] \frac{468}{12} [/tex]

Now, let's do the other two
[tex] \frac{149}{17} + \frac{429}{17} = \frac{578}{17} [/tex] (we add the numbers on top and leave the numbers at the bottom as they are)

Now we are down to two fractions
[tex] \frac{468}{12} + \frac{578}{17} = ?[/tex]

We can use the method of finding the common denominator but this one is really easy, it's called criss cross apple sauce (I know, weird name)

Now we multiply 468 times 17 and 578 times 12 and we add them and put them at the top.

As for the denominator, we just multiply 12 times 17

So 468 times 17 is equal to 7956
And 578 times 12 is equals to 6936
Now we add them
7956 + 6936 = 14892 (This is our new numerator)
And for the denominator is 12 * 17 which is 204
So the result is [tex] \frac{14892}{204} [/tex]
Now, we just divide and get a result of 73

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