Solve the Fraction Addition: 1/5 + 1/3 Step-by-Step

Solve the following exercise:

15+13= \frac{1}{5}+\frac{1}{3}=

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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
00:12 Calculate the products
00:19 Add with the common denominator
00:24 Calculate the numerator
00:27 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:

15+13= \frac{1}{5}+\frac{1}{3}=

2

Step-by-step solution

Let's try to find the lowest common denominator between 5 and 3

To find the lowest common denominator, we need to find a number that is divisible by both 5 and 3

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 5

1×35×3+1×53×5=315+515 \frac{1\times3}{5\times3}+\frac{1\times5}{3\times5}=\frac{3}{15}+\frac{5}{15}

Now we'll combine and get:

3+515=815 \frac{3+5}{15}=\frac{8}{15}

3

Final Answer

815 \frac{8}{15}

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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