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

00:00 Solution
00:03 We want to find the least common denominator
00:06 Therefore we'll multiply by 3, 2 respectively to find the common denominator
00:09 Make sure to multiply both numerator and denominator
00:14 Let's calculate the multiplications
00:27 Subtract with the common denominator
00:31 And this is the solution to the question

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}