Solve the Fraction Addition: 2/5 + 1/6 Step-by-Step

Solve the following exercise:

25+16= \frac{2}{5}+\frac{1}{6}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this problem together.
00:08 First, multiply each fraction by the other fraction's denominator. This helps us find a common denominator.
00:15 Remember to multiply both the numerator and the denominator by this value.
00:21 Next, calculate the products of these fractions.
00:26 Now, add the fractions together using the common denominator.
00:30 And then, compute the numerator by adding.
00:34 Great job! That's how we find the solution to this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

25+16= \frac{2}{5}+\frac{1}{6}=

2

Step-by-step solution

Let's try to find the lowest common denominator between 5 and 6

To find the lowest common denominator, we need to find a number that is divisible by both 5 and 6

In this case, the common denominator is 30

Now we'll multiply each fraction by the appropriate number to reach the denominator 30

We'll multiply the first fraction by 6

We'll multiply the second fraction by 5

2×65×6+1×56×5=1230+530 \frac{2\times6}{5\times6}+\frac{1\times5}{6\times5}=\frac{12}{30}+\frac{5}{30}

Now we'll combine and get:

12+530=1730 \frac{12+5}{30}=\frac{17}{30}

3

Final Answer

1730 \frac{17}{30}

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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