Question

1. israel ate ⅓ of a pizza. later, he returned to the pizza and ate half of the whole pizza. how much pizza did he eat in total? 5. shari has to walk ½ of a kilometre to school. she has already walked ¼ of a kilometre. how much further does she have to go?

Explanation:

Question 4:

Step1: Identify the fractions to add

Israel ate $\frac{1}{3}$ of the pizza first and then $\frac{1}{2}$ of the whole pizza. So we need to add $\frac{1}{3}$ and $\frac{1}{2}$.

Step2: Find a common denominator

The common denominator of 3 and 2 is 6. Convert the fractions: $\frac{1}{3}=\frac{2}{6}$ and $\frac{1}{2}=\frac{3}{6}$.

Step3: Add the fractions

Add the numerators: $\frac{2}{6}+\frac{3}{6}=\frac{2 + 3}{6}=\frac{5}{6}$.

Step1: Identify the total and the distance walked

The total distance to school is $\frac{1}{2}$ kilometre, and she has walked $\frac{1}{4}$ kilometre.

Step2: Subtract the distance walked from the total distance

To find how much further she has to go, subtract: $\frac{1}{2}-\frac{1}{4}$.

Step3: Find a common denominator and subtract

The common denominator of 2 and 4 is 4. Convert $\frac{1}{2}$ to $\frac{2}{4}$. Then $\frac{2}{4}-\frac{1}{4}=\frac{2 - 1}{4}=\frac{1}{4}$.

Answer:

$\frac{5}{6}$ of the pizza.

Question 5: