Adding Fractions: Calculate 1/4 + 1/4 Using Pizza Portions

Daniel eats $\frac{1}{4}$ of a pizza and Mariano also eats $\frac{1}{4}$ of the pizza.

How much of the pizza do they eat between them?

Video Solution

Solution Steps

00:00 What fraction did Danny and Moshe eat?

00:03 Let's add the fractions and calculate

00:07 Let's add under the common denominator

00:11 Let's calculate the numerator

00:15 Let's reduce the fraction as much as possible

00:20 Remember to divide both numerator and denominator

00:24 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll add the fractions representing the portions of pizza each person eats.

Step 1: Identify the fractions to add. Daniel eats $\frac{1}{4}$ of the pizza, and Mariano eats $\frac{1}{4}$ of the pizza.
Step 2: Since the fractions have the same denominator, add the numerators: $1 + 1 = 2$ .
Step 3: Keep the denominator the same, which is $4$ .
Step 4: The resulting fraction is $\frac{2}{4}$ .
Step 5: Simplify the fraction $\frac{2}{4}$ by dividing the numerator and the denominator by their greatest common divisor, which is $2$ .

Thus, $\frac{2}{4} = \frac{1}{2}$ .

Therefore, the total amount of pizza eaten by Daniel and Mariano together is $\frac{1}{2}$ .