Question

Aldo made a shirt using 1/5 meters of yellow fabric and 2/3 meters of red fabric. How many meters of fabric did he use in all? Write your answer as a fraction in simplest form.

Answer 1

Answer:

$\frac{13}{15}$ m of fabric

Step-by-step explanation:

To solve this problem, we add the meters of yellow fabric Aldo used with the meters of red fabric he used.

$\frac{1}{5}+\frac{2}{3}$

However, we have to find a common denominator between the two fractions first in order to add them together. We can do this by multiplying the numerator and denominator in 1/5 by 3, and then multiplying the numerator and denominator in 2/3 by 5.

Essentially, we're multiplying the values in each fraction by the other fraction's denominator.

$\frac{1}{5}$ ⇒ x3 ⇒ $\frac{3}{15}$

$\frac{2}{3}$ ⇒ x5 ⇒ $\frac{10}{15}$

Now, we add the two fractions.

$\frac{3}{15} + \frac{10}{15}\\=\frac{13}{15}$

I hope this helps!