Solve the Fraction Addition: 1/3 + 2/9 Step by Step

Solve the following exercise:

$\frac{1}{3}+\frac{2}{9}=\text{?}$

Video Solution

Solution Steps

00:05 Let's solve this problem step by step.

00:08 First, we need to multiply the fraction by 3 to get a common denominator, which will help us add the fractions.

00:15 Remember an important rule: when we multiply a fraction, we must multiply both the top number (numerator) and bottom number (denominator).

00:24 Now, let's work out these multiplications carefully.

00:28 Great! Now we can add the fractions since they have the same denominator.

00:34 Let's add the numbers in the numerator while keeping the same denominator.

00:38 And there we have it! This is our final answer. Well done following along!

Step-by-Step Solution

To solve this problem, let's follow these steps:

Step 1: Identify the common denominator.
Since 9 is a multiple of 3, our least common denominator will be 9.
Step 2: Convert $\frac{1}{3}$ to an equivalent fraction with a denominator of 9.
To do this, multiply both the numerator and the denominator by 3: $\frac{1 \times 3}{3 \times 3} = \frac{3}{9}$ .
Step 3: The other fraction, $\frac{2}{9}$ , already has the denominator 9, so we don't need to change it.
Step 4: Add the fractions $\frac{3}{9} + \frac{2}{9}$ .
Step 5: Add the numerators: $3 + 2 = 5$ .
Step 6: Combine over the common denominator: $\frac{5}{9}$ .

Therefore, the solution to the problem is $\frac{5}{9}$ .