Solve Fraction Addition: 3/5 + 2/15 Step-by-Step

Solve the following exercise:

35+215= \frac{3}{5}+\frac{2}{15}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Multiply the fraction by 3 to find the common denominator
00:07 Make sure to multiply both numerator and denominator
00:17 Calculate the products
00:27 Add with the common denominator
00:32 Calculate the numerator
00:37 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

35+215= \frac{3}{5}+\frac{2}{15}=

2

Step-by-step solution

Let's try to find the lowest common denominator between 5 and 15

To find the lowest common denominator, we need to find a number that is divisible by both 5 and 15

In this case, the common denominator is 15

Now we'll multiply each fraction by the appropriate number to reach the denominator 15

We'll multiply the first fraction by 3

We'll multiply the second fraction by 1

3×35×3+2×115×1=915+215 \frac{3\times3}{5\times3}+\frac{2\times1}{15\times1}=\frac{9}{15}+\frac{2}{15}

Now we'll combine and get:

9+215=1115 \frac{9+2}{15}=\frac{11}{15}

3

Final Answer

1115 \frac{11}{15}

Practice Quiz

Test your knowledge with interactive questions

Determine the least common multiple of 8 and 12.

\( \boxed 8~~~\boxed{ 12} \)

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