Hayden had $\frac{5}{8}$ of a pizza left in the fridge. He ate $\frac{1}{4}$ of the leftover pizza. How much of the pizza did he eat?
A. $\frac{1}{6}$
B. $\frac{5}{32}$
C. $\frac{12}{10}$
D. $\frac{10}{32}$
Answer (2)
Hayden ate 32 5 of the pizza. This was calculated by multiplying 4 1 (the portion he ate) by 8 5 (the portion left). The correct answer is 32 5 .
;
Multiply the fraction of pizza left by the fraction of the leftover pizza that Hayden ate.
Calculate 4 1 × 8 5 .
The result of the multiplication is 32 5 .
Hayden ate 32 5 of the pizza.
Explanation
Understanding the Problem Hayden had 8 5 of a pizza left. He ate 4 1 of the leftover pizza. We need to find out what fraction of the whole pizza Hayden ate.
Setting up the Calculation To find the fraction of the whole pizza that Hayden ate, we need to multiply the fraction of the pizza that was left by the fraction he ate. This means we need to calculate 4 1 × 8 5 .
Calculating the Fraction Now, let's perform the multiplication: 4 1 × 8 5 = 4 × 8 1 × 5 = 32 5
Finding the Answer So, Hayden ate 32 5 of the whole pizza.
Examples
Understanding fractions is very useful in everyday life. For example, if you are baking a cake and the recipe calls for 2 1 cup of flour, but you only want to make half of the cake, you need to know how to calculate 2 1 of 2 1 . This is the same as multiplying the fractions: 2 1 × 2 1 = 4 1 . So, you would need 4 1 cup of flour. This applies to many situations, such as sharing food, measuring ingredients, or calculating distances.
