Solve the Fraction Addition: 3/4 + 1/6 Step-by-Step

Video Solution

Solution Steps

00:06 Alright, let's solve this problem together!

00:09 First, we need to find the least common denominator.

00:13 So, we multiply by three and by two, for a common denominator of twelve.

00:19 Don't forget to multiply both the numerator and the denominator by these numbers.

00:27 Let's do the multiplication now, step by step.

00:37 Great job! Now, add your fractions under the common denominator.

00:43 Calculate the numerator, and we're almost there!

00:47 And that's the solution to our question! Well done!

Step-by-Step Solution

To solve the addition of these two fractions, we'll proceed as follows:

Step 1: Determine the least common denominator (LCD) of the fractions.
The denominators are 4 and 6, and the smallest number that is a multiple of both is 12. Thus, the LCD is 12.
Step 2: Convert each fraction to an equivalent fraction with the denominator 12.
- For $\frac{3}{4}$ , multiply both numerator and denominator by 3: $\frac{3 \times 3}{4 \times 3} = \frac{9}{12}$ .
- For $\frac{1}{6}$ , multiply both numerator and denominator by 2: $\frac{1 \times 2}{6 \times 2} = \frac{2}{12}$ .
Step 3: Add the converted fractions.
$\frac{9}{12} + \frac{2}{12} = \frac{9 + 2}{12} = \frac{11}{12}$ .

Therefore, the solution to the problem is $\frac{11}{12}$ .