Question

1 5/6 : 1 1/3 = 1 3/5 : х

Answer 1

$1 \frac{5}{6} :1 \frac{1}{3} = 1\frac{3}{5} :x$
$\frac{11}{6} : \frac{4}{3} = \frac{8}{5} :x$
$\frac{11}{6}*x=\frac{4}{3} *\frac{8}{5}$
$\frac{11}{6}x= \frac{32}{15}$
$x= \frac{32}{15}:\frac{11}{6}= \frac{32*6}{15*11} = \frac{192}{165}=1 \frac{27}{165} =1 \frac{9}{55}$

Answer 2

To solve the proportion equation:

1 5/6 : 1 1/3 = 1 3/5 : x

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

1 5/6 = (6 * 1 + 5) / 6 = 11/6 1 1/3 = (3 * 1 + 1) / 3 = 4/3

Now we have:

11/6 : 4/3 = 1 3/5 : x

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(11/6) * (3/4) = (1 3/5) * (1/x)

To simplify, we can multiply the numerators and denominators separately:

(11 * 3) / (6 * 4) = (1 * x + 3) / (5 * 1)

33/24 = (x + 3)/5

To solve for x, we cross-multiply:

33 * 5 = 24 * (x + 3)

165 = 24x + 72

Subtracting 72 from both sides:

165 - 72 = 24x

93 = 24x

Dividing both sides by 24:

93/24 = x

x ≈ 3.875

Therefore, the value of x is approximately 3.875.