Question

(4 5/6) : (1,25) = 11 3/5 : X​

Answer 1

Ответ:

3

Пошаговое объяснение:

х = 1,25 * 11. 3/5 / 4. 5/6

х = 1. 25/100 * 11. 3/5 / 29/6

х = 1. 1/4 * 11. 3/5 / 29/6

х = 5/4 * 58/5 / 29/6

х = 58/4 : 29/6

х = 58/4 * 6/29

х = 2/2 * 3/1

х = 6/2

х = 3

Answer 2

To solve the proportion $(4 \frac{5}{6}) : (1.25) = \left( \frac{11}{5} \right) : X$, we'll first convert the mixed numbers to improper fractions and then solve for $X$.

Convert $4 \frac{5}{6}$ to an improper fraction:

$4 \frac{5}{6} = \frac{4 \times 6 + 5}{6} = \frac{24 + 5}{6} = \frac{29}{6}$

Now, we can rewrite the proportion using the improper fractions:

$\frac{29}{6} : 1.25 = \frac{11}{5} : X$

Next, we'll cross-multiply:

$29 \times X = 1.25 \times 11$

$29X = 13.75$

Now, isolate $X$ by dividing both sides by 29:

$X = \frac{13.75}{29} \approx 0.47413793$

To express $X$ as a mixed number, we can write it as a fraction:

$X \approx 0.47413793 \approx \frac{47413793}{100000000}$

Now, let's simplify this fraction:

$X \approx \frac{47413793}{100000000} \approx \frac{237068965}{500000000}$

And as a mixed number:

$X \approx 0 \frac{237068965}{500000000}$