Inali ate $\frac{3}{8}$ of a pizza. His friend ate $\frac{1}{4}$ of the pizza. How much did they eat all together?
A. $\frac{1}{3}$
B. $\frac{1}{2}$
C. $\frac{5}{8}$
D. $\frac{3}{4}$
Answer (2)
Find a common denominator for the fractions 8 3 and 4 1 , which is 8.
Convert 4 1 to 8 2 .
Add the fractions: 8 3 + 8 2 = 8 5 .
The total amount of pizza they ate together is 8 5 .
Explanation
Problem Analysis Let's analyze the problem. Inali ate 8 3 of a pizza, and his friend ate 4 1 of the same pizza. We need to find the total amount of pizza they ate together. This means we need to add the two fractions.
Finding a Common Denominator To add the fractions, we need a common denominator. The smallest common denominator for 8 and 4 is 8. So, we need to convert 4 1 to an equivalent fraction with a denominator of 8. To do this, we multiply both the numerator and the denominator of 4 1 by 2: 4 1 = 4 × 2 1 × 2 = 8 2
Adding the Fractions Now that both fractions have the same denominator, we can add them: 8 3 + 8 2 = 8 3 + 2 = 8 5 So, together they ate 8 5 of the pizza.
Final Answer Therefore, Inali and his friend ate a total of 8 5 of the pizza. Looking at the multiple-choice options, we see that the correct answer is C.
Examples
Fractions are used in everyday life, such as when cooking, measuring ingredients, or splitting a bill with friends. For example, if you are baking a cake and the recipe calls for 2 1 cup of flour and 4 1 cup of sugar, you need to add these fractions to know the total amount of dry ingredients. Understanding how to add fractions is essential for accurate measurements and successful baking!
Inali and his friend ate a total of 8 5 of the pizza. To arrive at this conclusion, we added 8 3 and 4 1 after converting 4 1 to 8 2 . Therefore, the selected option is C.
;
