Alex has 1/2 pizza left in the fridge. At breakfast he ate 1/3 of it. What fraction of the original pizza does he have left?
Your second sentence is not clear.
"At breakfast he ate 1/3 of it"
1/3 of the pizza he has left, or 1/3 of the original pizza ?
If he eats 1/3 of what is left in the fridge, then (2/3) of the half - pizza is left, or 1/3 of the pizza is left
if he eats 1/3 of the original pizza for breakfast then he has eaten
1/2 + 1/3 = 5/6 , leaving 1/6 of the pizza
To find the fraction of the original pizza that Alex has left, you need to subtract the fraction he ate from the original fraction.
Alex has 1/2 of the pizza left.
At breakfast, he ate 1/3 of it.
Subtracting 1/3 from 1/2 gives us:
1/2 - 1/3
To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common denominator (LCD) is 6.
To convert 1/2 to a fraction with 6 as the denominator, we multiply the numerator and denominator by 3:
1/2 * 3/3 = 3/6
To convert 1/3 to a fraction with 6 as the denominator, we multiply the numerator and denominator by 2:
1/3 * 2/2 = 2/6
Now we can subtract 2/6 from 3/6:
3/6 - 2/6 = 1/6
Therefore, Alex has 1/6 of the original pizza left.