Solve: Adding Fractions 1/6 + 4/12 Step by Step

Video Solution

Solution Steps

00:03 Let's solve this step by step.

00:06 First, we need to multiply the fraction by 2 to get a common denominator. This will help us add the fractions together.

00:14 Remember an important rule: when we multiply a fraction, we must multiply both the top number (numerator) and bottom number (denominator).

00:23 Now, let's do the multiplication in each part.

00:27 Great! Now we can add the fractions since they have the same denominator.

00:33 Let's add the numbers in the numerator while keeping the same denominator.

00:37 And there we have it! We've found our solution. Great job following along!

Step-by-Step Solution

To solve the problem of adding $\frac{1}{6} + \frac{4}{12}$ , follow these steps:

Step 1: Find the least common denominator (LCD) for the fractions. The denominators are 6 and 12, and the LCD is 12.
Step 2: Convert $\frac{1}{6}$ to an equivalent fraction with a denominator of 12. To do this, multiply both the numerator and the denominator by 2: $\frac{1}{6} \times \frac{2}{2} = \frac{2}{12}$ .
Step 3: The fraction $\frac{4}{12}$ already has the denominator of 12, so no conversion is needed.
Step 4: Add the fractions with the common denominator: $\frac{2}{12} + \frac{4}{12} = \frac{6}{12}$ .
Step 5: Simplify the resulting fraction if possible. In this case, $\frac{6}{12}$ simplifies to $\frac{1}{2}$ , but we will leave it as $\frac{6}{12}$ as it appears in the options.

Therefore, the solution to the problem is $\frac{6}{12}$ , which matches option 3 from the provided answers.