Question

5 3/5 :3 1/4=5 1/4:х​

Answer 1

Пошаговое объяснение:

вроде правильно.......

Answer 2

To solve for $x$ in the proportion $5 \frac{3}{5} : 3 \frac{1}{4} = 5 \frac{1}{4} : x$, you can cross-multiply and then solve for $x$.

First, let's convert the mixed numbers to improper fractions:

$5 \frac{3}{5} = \frac{5 \cdot 5 + 3}{5} = \frac{25 + 3}{5} = \frac{28}{5}$

$3 \frac{1}{4} = \frac{3 \cdot 4 + 1}{4} = \frac{12 + 1}{4} = \frac{13}{4}$

Now, the proportion becomes:

$\frac{28}{5} : \frac{13}{4} = \frac{5 \frac{1}{4}}{x}$

To solve for $x$, cross-multiply:

$28 \cdot 4 = 13 \cdot 5 \frac{1}{4}$

$112 = 13 \cdot \frac{21}{4}$

Now, isolate $x$ by dividing both sides by $\frac{21}{4}$:

$x = \frac{112}{13} \cdot \frac{4}{21}$

$x = \frac{448}{273}$

So, $x$ is equal to $\frac{448}{273}$ in its simplest form.