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

Video Solution

Solution Steps

00:00 Solve

00:03 We want to find the smallest common denominator

00:06 Multiply by 2 to find the common denominator

00:09 Remember to multiply both numerator and denominator

00:12 Let's calculate the multiplications

00:19 We'll combine under the common denominator

00:23 Let's calculate the numerator

00:28 Reduce the fraction as much as possible

00:32 Remember to divide both numerator and denominator

00:38 And this is the solution to the question

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 $\frac{1}{2}$ .