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

Solve the following equation:

34−16= ? \frac{3}{4}-\frac{1}{6}=\text{ ?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

34−16= ? \frac{3}{4}-\frac{1}{6}=\text{ ?}

2

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}

912−212=9−212=712 \frac{9}{12}-\frac{2}{12}=\frac{9-2}{12}=\frac{7}{12}

3

Final Answer

712 \frac{7}{12}

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( \frac{3}{2}-\frac{1}{2}=\text{?} \)

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