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. $\frac{\pi}{3}$
B. $\frac{1}{2}$
C. $\frac{5}{8}$
D. $\frac{13}{4}$
Answer (1)
Find a common denominator for the fractions 8 3 and 4 1 , which is 8.
Convert 4 1 to an equivalent fraction with a denominator of 8: 4 1 = 8 2 .
Add the fractions: 8 3 + 8 2 = 8 5 .
The total fraction of pizza eaten is 8 5 .
Explanation
Problem Analysis Inali ate 8 3 of a pizza, and his friend ate 4 1 of the same pizza. We need to find the total fraction of the pizza they ate together. This means we need to add the two fractions.
Finding a Common Denominator To add the fractions 8 3 and 4 1 , we need to find a common denominator. The least common multiple of 8 and 4 is 8. So, we will convert 4 1 to an equivalent fraction with a denominator of 8.
Converting Fractions To convert 4 1 to a fraction with a denominator of 8, we multiply both the numerator and the denominator by 2: 4 1 = 4 × 2 1 × 2 = 8 2
Adding the Fractions Now we can add the two fractions: 8 3 + 8 2 = 8 3 + 2 = 8 5
Final Answer Therefore, Inali and his friend ate a total of 8 5 of the pizza.
Examples
Fractions are used in everyday life, such as when cooking, baking, or measuring ingredients. For example, if a recipe calls for 2 1 cup of flour and you want to double the recipe, you need to multiply 2 1 by 2, which gives you 1 cup of flour. Understanding fractions helps in accurately scaling recipes and ensuring the correct proportions of ingredients.
