Solve the Fraction Addition: 2/8 + 5/12

Solve the following equation:

28+512= \frac{2}{8}+\frac{5}{12}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this fraction problem step by step.
00:09 First, we need to find a common denominator. We'll multiply the first fraction by 3 and the second fraction by 2.
00:17 Remember the important rule: when we multiply a fraction, we must multiply both the top number (numerator) and bottom number (denominator).
00:26 Now, let's do the multiplication for each fraction carefully.
00:33 Great! Now that we have the same denominator, we can add these fractions together.
00:39 And there we have it! We've successfully solved this fraction problem.

Step-by-step written solution

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1

Understand the problem

Solve the following equation:

28+512= \frac{2}{8}+\frac{5}{12}=

2

Step-by-step solution

Let's first identify the lowest common denominator between 8 and 12.

In order to determine the lowest common denominator, we need to find a number that is divisible by both 8 and 12.

In this case, the common denominator is 24

Now we'll proceed to multiply each fraction by the appropriate number to reach the denominator 24.p

We'll multiply the first fraction by 3

We'll multiply the second fraction by 2

2×38×3+5×212×2=624+1024 \frac{2\times3}{8\times3}+\frac{5\times2}{12\times2}=\frac{6}{24}+\frac{10}{24}

Now let's combine:

6+1024=1624 \frac{6+10}{24}=\frac{16}{24}

3

Final Answer

1624 \frac{16}{24}

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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