Question

(x- 1/5) :16/19= 3 1/6 :13 1/3

Answer 1

(x-1/5) : 16/19 = 3 1/6 : 13 1/3;
(x-1/5) : 16/19 =19/6 : 3/36;
(x-1/5) : 16/19 =16/6 * 3/36;
(x-1/5) : 16/19 =19/2 * 1/36;
x-1/5 = 19/2 * 1/36 * 16/19;
x-1/5 = 1/2 * 1/36 * 16/1;
x-1/5 =  1/2 * 1/9 * 4/1;
x-1/5 = 4/18;
x = 1/5 + 4/18;
x = 18/90 + 20/90;
x = 38/90;
x = 19/45.

Удачи :)

Answer 2

To solve the equation $\frac{x - \frac{1}{5}}{\frac{16}{19}} = \frac{3 \frac{1}{6}}{13 \frac{1}{3}}$, follow these steps:

Step 1: Convert mixed numbers to improper fractions: $3 \frac{1}{6} = \frac{19}{6}$ $13 \frac{1}{3} = \frac{40}{3}$

Step 2: Substitute the fractions into the equation: $\frac{x - \frac{1}{5}}{\frac{16}{19}} = \frac{\frac{19}{6}}{\frac{40}{3}}$

Step 3: Invert the divisor ($\frac{16}{19}$) and multiply: $\frac{x - \frac{1}{5}}{\frac{16}{19}} \cdot \frac{19}{16} = \frac{\frac{19}{6}}{\frac{40}{3}} \cdot \frac{19}{16}$

Step 4: Simplify and solve for $x$: $x - \frac{1}{5} = \frac{19}{6} \cdot \frac{19}{16} \cdot \frac{3}{40}$

$x - \frac{1}{5} = \frac{361}{320}$

Add $\frac{1}{5}$ to both sides: $x = \frac{361}{320} + \frac{1}{5}$

Step 5: Convert the answer to a mixed number if desired: $x = \frac{361}{320} + \frac{64}{320} = \frac{425}{320}$

Simplify the fraction: $x = \frac{425}{320} = \frac{85}{64}$

So, the solution for the equation is $x = \frac{85}{64}$, which can also be expressed as a mixed number $1 \frac{21}{64}$.