Answer: 9/10
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Step-by-step explanation:
Imagine a pizza split into 5 equal slices. Then imagine that you split each slice in half. This means we now have 5*2 = 10 slices.
Eating 3 out of the original 5 is equivalent to eating 6 smaller slices out of the now 10 total.
In other words: The fraction 3/5 is the same as 6/10
Put another way: Multiply top and bottom of 3/5 by 2 to get 6/10.
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Gary painted 3/10 of the fence in the morning, and then 3/5 of it in the afternoon. We can replace the "3/5" with "6/10".
- 3/10 in the morning
- 6/10 in the afternoon
3/10 + 6/10 = (3+6)/10 = 9/10 total
Going back to the pizza scenario, we can imagine 3/10 as eating 3 slices out of 10 total. Then 6/10 adds 6 more slices to get 3+6 = 9 slices total. That's how we end up with 9/10 as the answer.