Question

1) 3 1/3 : 2 6/72)5/6 - x = 25​

Answer 1

Ответ:

3 1/3/ 2 6/7= 10/3: 20/7= 10/3*7/20=7/6= 1 1/6

5/6-х=25

х=5/6-25

х=-24 6/6+5/6

х=-24 1/6

Answer 2

Ответ:

$3 \frac{1}{3} \div 2 \frac{6}{7} = \frac{10}{3} \div \frac{20}{7} = \frac{10 \times 7}{3 \times 20} = \frac{7}{3 \times 2} = \frac{7}{6} = 1 \frac{1}{6}$

$\frac{5}{6} - x = 25 \\ x = \frac{5}{6} - 25 \\ x = \frac{5}{6} - \frac{150}{6} \\ x= ( - \frac {145}{6}) \\ x = ( - 24 \frac{1}{6})$

Answer 3

Let's break down each of the equations and solve for the variables:

1. 3 1/3 : 2 6/7

To divide mixed numbers, you can convert them to improper fractions and then perform the division:

3 1/3 = (3 * 3 + 1)/3 = 10/3 2 6/7 = (2 * 7 + 6)/7 = 20/7

Now, you can divide:

(10/3) : (20/7)

To divide fractions, you can multiply by the reciprocal of the second fraction:

(10/3) * (7/20)

Now, multiply the numerators together and the denominators together:

(10 * 7) / (3 * 20)

70 / 60

Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 10:

(70 / 10) / (60 / 10) = 7/6

So, 3 1/3 : 2 6/7 = 7/6.

2. 5/6 - x = 25

To solve for x, first, isolate the variable on one side of the equation. Start by subtracting 5/6 from both sides:

5/6 - x - 5/6 = 25 - 5/6

Now, simplify the left side:

-x = 25 - 5/6

To get rid of the negative sign in front of x, multiply both sides by -1:

x = -1 * (25 - 5/6)

x = -(25 - 5/6)

x = -25 + 5/6

Now, find a common denominator to add the fractions:

x = -(150/6 + 5/6)

x = -(155/6)

So, the solution for x is:

x = -155/6 or -25 5/6.