Solve the Fraction Addition: 1/3 + 1/6 Step-by-Step

Video Solution

Solution Steps

00:03 Let's solve the problem together.

00:06 First, we need to find the smallest common denominator.

00:10 We do this by multiplying by 2 to find a common denominator.

00:15 Remember, multiply both the numerator and the denominator.

00:20 Now, let's calculate these multiplications.

00:25 Next, we combine the fractions under the common denominator.

00:30 Let's work out the new numerator.

00:33 Reduce the fraction as much as possible to simplify it.

00:37 Don't forget to divide both the numerator and the denominator.

00:41 And that's how we find the solution! Great job!

Step-by-Step Solution

We need to find a common denominator for the fractions $\frac{1}{3}$ and $\frac{1}{6}$ in order to add them together.

Step 1: Identify the least common denominator (LCD).

Step 2: Convert each fraction to an equivalent fraction with the LCD of 6.

$\frac{1}{3}$ needs to be converted. Multiply both numerator and denominator by 2: $\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}$ .
$\frac{1}{6}$ already has the denominator as 6, so it remains $\frac{1}{6}$ .

Step 3: Add the fractions.

Now that the denominators are the same, we can add the numerators: $\frac{2}{6} + \frac{1}{6} = \frac{2 + 1}{6} = \frac{3}{6}$ .

Step 4: Simplify the result.

$\frac{3}{6}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3: $\frac{3}{6} = \frac{3 \div 3}{6 \div 3} = \frac{1}{2}$ .

Thus, the result of the addition of $\frac{1}{3}$ and $\frac{1}{6}$ is $\frac{1}{2}$ .

Therefore, the solution to the problem is $\frac{1}{2}$ .