Question

(1 7/8 x-2 1/3)∙24=4

Answer 1

$(1 \frac{7}{8} x - 2 \frac{1}{3} ) \times 24 = 4 \\ 1 \frac{7}{8} x - 2 \frac{1}{3} = 4 \div 24 \\ 1 \frac{7}{8} x - 2 \frac{1}{3 } = \frac{4}{24} \\ \frac{15}{8} x - \frac{7}{3} = \frac{1}{6} \\ \frac{15}{8} x = \frac{1}{6} + \frac{7}{3} \\ \frac{15}{8} x = \frac{1 + 14}{6} \\ \frac{15}{8} x = \frac{15}{6} \\ x = \frac{15}{6} \div \frac{15}{8} \\ x = \frac{15 \times 8}{6 \times 15} \\ x = \frac{8}{6} \\ x = \frac{4}{3} \\ x = 1 \frac{1}{3}$
Ответ: 1⅓.

Answer 2

Let's solve the equation step by step.

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

1 7/8 = (8 * 1 + 7) / 8 = 15/8 2 1/3 = (3 * 2 + 1) / 3 = 7/3

Now, the equation becomes:

(15/8 x - 7/3) * 24 = 4

Next, let's distribute the multiplication:

(15/8 * 24) x - (7/3 * 24) = 4

Now, let's calculate the values:

15/8 * 24 = 45 7/3 * 24 = 56

The equation becomes:

45x - 56 = 4

Now, let's isolate the variable x by moving the constant term to the other side:

45x = 4 + 56 45x = 60

Finally, solve for x:

x = 60 / 45 x = 4/3

So, the solution for the equation is x = 4/3.