Question

11\25х-4\35у-7\15х-7\20у упростите выражение.

Answer 1

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Answer 2

To simplify the expression, combine like terms with the same variable:

$\frac{11}{25}x - \frac{4}{35}y - \frac{7}{15}x - \frac{7}{20}y$

First, let's combine the $x$ terms:

$\left(\frac{11}{25}x - \frac{7}{15}x\right) - \frac{4}{35}y - \frac{7}{20}y$

To combine the $x$ terms, find a common denominator for $25$ and $15$, which is $75$. Then rewrite the fractions:

$\frac{11}{25}x - \frac{21}{75}x - \frac{4}{35}y - \frac{7}{20}y$

Next, let's combine the $y$ terms:

$\frac{11}{25}x - \frac{21}{75}x - \left(\frac{4}{35}y + \frac{7}{20}y\right)$

To combine the $y$ terms, find a common denominator for $35$ and $20$, which is $140$. Then rewrite the fractions:

$\frac{11}{25}x - \frac{21}{75}x - \frac{8}{140}y - \frac{49}{140}y$

Now, combine like terms:

$\frac{11}{25}x - \frac{21}{75}x - \frac{57}{140}y$

Now, we can simplify further by reducing the fractions:

To reduce $\frac{21}{75}$, divide the numerator and denominator by their greatest common divisor (GCD), which is $3$:

$\frac{7}{25}x - \frac{57}{140}y$

Thus, the simplified expression is $\frac{7}{25}x - \frac{57}{140}y$.