Solve the Fraction Addition: 1/2 + 1/5 Step-by-Step

Solve the following exercise:

12+15= \frac{1}{2}+\frac{1}{5}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Multiply each fraction by the second denominator to find the common denominator
00:07 Make sure to multiply both numerator and denominator
00:15 Calculate the products
00:22 Add with the common denominator
00:26 Calculate the numerator
00:31 Add with the common denominator

Step-by-step written solution

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1

Understand the problem

Solve the following exercise:

12+15= \frac{1}{2}+\frac{1}{5}=

2

Step-by-step solution

Let's try to find the lowest common denominator between 2 and 5

To find the lowest common denominator, we need to find a number that is divisible by both 2 and 5

In this case, the common denominator is 10

Now we'll multiply each fraction by the appropriate number to reach the denominator 10

We'll multiply the first fraction by 5

We'll multiply the second fraction by 2

1×52×5+1×25×2=510+210 \frac{1\times5}{2\times5}+\frac{1\times2}{5\times2}=\frac{5}{10}+\frac{2}{10}

Now we'll combine and get:

5+210=710 \frac{5+2}{10}=\frac{7}{10}

3

Final Answer

710 \frac{7}{10}

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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