Perform the indicated operation and simplify 10x/5x-2 + 7x-2/5x-2

Mathematics

1 answer:

tatiyna3 years ago

6 0

Answer:

$\frac{17x-2}{5x-2}$

Step-by-step explanation:

10x/5x-2 + 7x-2/5x-2

$\frac{10x}{5x-2} + \frac{7x-2}{5x-2}$

Here both fractions have same denominator 5x-2

When the denominators are same then we can combine the numerators

we put denominator only once

$\frac{10x+7x-2}{5x-2}$

Now we simplify it

Combine like terms: 10x+7x becomes 17x

$\frac{17x-2}{5x-2}$

There is no common factor for the top and bottom

So we cannot simplify further

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