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

Question

Solve the following equation:

3416= ? \frac{3}{4}-\frac{1}{6}=\text{ ?}

Video Solution

Solution Steps

00:05 Let's solve this problem together!
00:08 First, we need to find the least common denominator.
00:12 To do this, we'll multiply both by 3 and 2 to find a common denominator.
00:18 Remember, multiply both the top, which is the numerator, and the bottom, which is the denominator.
00:23 Now, let's do the calculations together. Get ready to multiply!
00:32 Next, subtract using the common denominator we found.
00:36 And that's how we solve this problem. Great job!

Step-by-Step Solution

In this question, we need to find a common denominator.

However, we don't have to multiply the denominators by each other as there is a lowest common denominator: 12.

3×33×4 \frac{3\times3}{3\times4}

1×26×2 \frac{1\times2}{6\times2}

912212=9212=712 \frac{9}{12}-\frac{2}{12}=\frac{9-2}{12}=\frac{7}{12}

Answer

712 \frac{7}{12}