Bill has 2/3 of his pizza left from lunch. If he eats 3/7 more of his pizza, how much pizza is left

Convert both to fractions with a common denominator of 21 and subtract. (14/21)-(9/21)

Thanks

1. 5/21

2. 3/40
3. 33/56
4. 1/20
5. 2/5

To find out how much pizza is left, we need to subtract the amount Bill eats from the amount he had originally.

First, let's calculate how much pizza Bill has left after lunch. If he had 2/3 of the pizza left, it means he already ate 1 - 2/3 = 1/3 of the pizza.

Now, let's calculate how much pizza Bill eats when he eats 3/7 more of the pizza. To do this, we add 3/7 to the remaining 1/3. To add fractions with different denominators, we need to find a common denominator. In this case, the least common denominator is 21 (which is the smallest number divisible by both 3 and 7).

So, 1/3 as an equivalent fraction with a denominator of 21 is (1/3) * (7/7) = 7/21.

Next, we add 3/7 to 7/21:
(3/7) * (3/3) = 9/21.

Now, we can find out how much pizza is left by subtracting 9/21 from 1 (since 9/21 is the fraction that Bill eats).

1 - 9/21 = 21/21 - 9/21 = 12/21.

Therefore, Bill has 12/21 of the pizza left.