Solve the Fraction Addition: 2/6 + 3/7 Step-by-Step

Solve the following exercise:

26+37= \frac{2}{6}+\frac{3}{7}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's solve this problem.
00:11 First, multiply each fraction by the other's denominator to find a common denominator.
00:17 When you multiply, remember to do it to both the numerator and the denominator.
00:23 Next, calculate the products.
00:28 Now, add the fractions using the common denominator.
00:35 Calculate the numerator by adding.
00:39 And that's how you find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

26+37= \frac{2}{6}+\frac{3}{7}=

2

Step-by-step solution

Let's try to find the lowest common denominator between 6 and 7

To find the lowest common denominator, we need to find a number that is divisible by both 6 and 7

In this case, the common denominator is 42

Now we'll multiply each fraction by the appropriate number to reach the denominator 42

We'll multiply the first fraction by 7

We'll multiply the second fraction by 6

2×76×7+3×67×6=1442+1842 \frac{2\times7}{6\times7}+\frac{3\times6}{7\times6}=\frac{14}{42}+\frac{18}{42}

Now we'll combine and get:

14+1842=3242 \frac{14+18}{42}=\frac{32}{42}

3

Final Answer

3242 \frac{32}{42}

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 5:6= \)

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