The amount of pizza that Ruby and Angie ate in all for this considered situation is given by: Option A: 8/15
How to add two fractions?
Let we have to add two fractions as:
\(\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}\)
Then we will find Lowest Common Multiple (LCM) of \(b_1\) and \(b_2\). That will help to make the denominators same.
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
So, we're specified that:
- Ruby ate 1/3 of a pizza
- Angie ate 1/5 of the pizza
These 1/3 and 1/5 are parts of pizza.
If we add those parts which is eaten, we will get the total part of the pizza eaten.
Thus, we get:
Total part of the pizza eaten = (1/3 + 1/5) of a pizza.
The least common multiple of 3 and 5 is 15, because:
\(3,6,9,12,15\\5,10,15\)
(see the multiples of 3 and 5. The first common number as both's multiple is the least number which is multiple of both, and is 15).
Thus, we get:
\(\dfrac{1}{3} + \dfrac{1}{5} = \dfrac{1 \times 5 + 1 \times 3}{15} = \dfrac{8}{15}\)
Thus, the amount of pizza that Ruby and Angie ate in all for this considered situation is given by: Option A: 8/15
Learn more about fraction addition here:
https://brainly.com/question/17544795
