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lord [1]
2 years ago
11

Explain in sentences how you can add or subtract two fractions with common denominators?

Mathematics
1 answer:
Lemur [1.5K]2 years ago
8 0
If two fractions have the same denominators, then just simply add up the numerators together and keep the denominator.

Examples:

\frac{4}{10} +  \frac{5}{10} =  \frac{9}{10}

\frac{10}{12} - \frac{2}{12} = \frac{8}{12}
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=====================================

Explanation:

The given matrix is

\left[\begin{array}{cc|c}1&5&11\\4&-6&-3\end{array}\right]

The numbers to the right of the vertical bar represent the values on the right hand side of each equation in the final answer.

The numbers to the left of the bar represent the x and y coefficients of the equations. The first number of any given row is the x coefficient. The second number is the y coefficient.

For instance, the first row has \begin{array}{cc}1&5\end{array} to indicate the x coefficient is 1, and the y coefficient is 5. We end up with 1x+5y or simply x+5y. Putting everything together, the first equation would be x+5y = 11

Through similar steps, the second equation is  4x-6y = -3

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