This written out is:
2/5 + 4/3
------------
3/5
Roughly, now first we need to change the denominators to all match up in order to properly solve this problem.
Both 5 and 3 go into 15, 5 goes into 15 3 times and 3 goes into 15 5 times. With that said, multiply the individual numerators by 5 and 3.
2/5 -> 2*3/15 -> 6/15
4/3 -> 4*5/15 -> 20/15
3/5 -> 3*3/15 -> 9/15
With this, we then add the top numerator of the overall problem:
26/15
------- | With this we now cross-multiply.
9/15
26/15 * 15/9 = 390/135 | Now to simplify this.
135 goes into 390 twice, as 270. Subtract 390 by 270, leaving us with 120.
Meaning: 2 120/135 is the answer, but now to simplify. Divide 120 and 135 by 5 to lessen this.
24/27 | Divide this by 3 to get your most simplified answer.
8/9 | Leaving us with the answer of:
2 8/9
I hope this helps, have a great rest of your day! ^ ^
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