Question

Simplify the following expression 2/5 + 4/3 over 3/5

Answer 1

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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