Question

2/3 + 1/5 = ?

• A. 13/15
• B. 3/8
• C. 11/15
• D. 2/5

Answer 1

Answer:

A. 13/15

The answer is $\frac{13}{15}$.

To add two fractions with different denominators, you need to find a common denominator.

Step 1: Find the Least Common Multiple (LCM) of the denominators

The denominators are 3 and 5.
Since both are prime numbers, their LCM is:
$3 \times 5 = 15$

Step 2: Convert both fractions to have the common denominator (15)

• For the first fraction ($\frac{2}{3}$), multiply the numerator and denominator by 5:
  $\frac{2 \times 5}{3 \times 5} = \frac{10}{15}$

• For the second fraction ($\frac{1}{5}$), multiply the numerator and denominator by 3:
  $\frac{1 \times 3}{5 \times 3} = \frac{3}{15}$

Step 3: Add the numerators together

Now that the denominators are the same, keep the denominator and add the top numbers:
$\frac{10}{15} + \frac{3}{15} = \frac{10 + 3}{15} = \frac{13}{15}$