Question

1/6:2 1/3=3 1/4x:1,3 срочно с решением

Answer 1

Ответ:

$x = \dfrac{1}{35 }$

Пошаговое объяснение:

$\displaystyle \frac{1}{6}:2\frac{1}{3} = 3\frac{1}{4}x: 1,3$

Смешанные дроби представим в видем неправильных

$\displaystyle \frac{1}{6}:\frac{2\cdot 3+1}{3} = \frac{3\cdot 4+1}{4}x: \frac{13}{10} \\\\\\ \frac{1}{6}:\frac{7}{3} =\frac{13}{4}x:\frac{13}{10 }$

Дальше  по правилу пропорции

$\boldsymbol{a:b = c: d} \\\\ \boldsymbol{ad= bc}$

$\displaystyle\frac{1}{6}:\frac{7}{3} =\frac{13}{4}x:\frac{13}{10} \\\\\\ \frac{7}{3}\cdot \frac{ \diagup \!\!\!\!\!13}{4}x = \frac{1}{6} \cdot \frac{\diagup \!\!\!\!\!13}{10}$

$\displaystyle \frac{7}{3} \cdot \frac{1}{4} x = \frac{1}{6}\cdot \frac{1}{10} \\\\\\ \frac{7}{12} x =\frac{1}{60} \\\\\\\ x= \frac{\dfrac{1}{60} }{\dfrac{7}{12} } = \frac{12}{60 \cdot 7} =\frac{\diagup \!\!\!\!\!\!12}{\diagup \!\!\!\!\!\!12\cdot 5\cdot 7 } = \frac{1}{35 }$

Answer 2

Calculation of 1/6 ÷ 2 + 1/3

To solve the expression 1/6 ÷ 2 + 1/3, we can follow these steps:

1. Convert the mixed numbers to improper fractions. 2. Perform the division. 3. Add the result to 1/3.

Step 1: Convert Mixed Numbers to Improper Fractions

The mixed numbers 1/6 and 1/3 can be converted to improper fractions as follows: - 1/6 as an improper fraction is 1/6 - 1/3 as an improper fraction is 1/3

Step 2: Perform the Division

Now, let's perform the division of 1/6 by 2: - 1/6 ÷ 2 = (1/6) ÷ 2 = 1/12

Step 3: Add the Result to 1/3

Finally, we add the result of the division to 1/3: - 1/12 + 1/3 = 5/12

So, 1/6 ÷ 2 + 1/3 = 5/12.