Question

3 1/8*1 3/5*4/15*х=2 2/17*3 7/9 * 15/16​

Answer 1

Ответ:

Пошаговое объяснение:

1.

25/8 * 8/5 * 4/15х = 2

5 * 4/15х = 2

4/15х = 2 : 5

4/15х = 2/5

х = 2/5 : 4/15

х = 2/5 * 15/4

х = 1/1 * 3/2

х = 3/2

х = 1 1/2

2.

2/17 * 34/9 * 15/16 =

(2/1 * 2/9) * 15/16 =

4/9 * 15/16 = 1/3 * 5/4 = 5/12

Answer 2

Відповідь:

3 1/8*1 3/5*4/15*х=2 2/17*3 7/9 * 15/16​

$3\frac{1}{8} *1\frac{3}{5} *\frac{4}{15} *x=2\frac{2}{17} *3\frac{7}{9} *\frac{15}{16}$

$\frac{25*8*4*x}{8*5*15*1} =\frac{36*34*15}{17*9*16}$

$\frac{4x}{3} =\frac{15}{2}$

4х=(15*3):2

4х=45/2

$x=\frac{45}{2} :4=\frac{45*1}{2*4} =\frac{45}{8} =5\frac{5}{8}$

Покрокове пояснення:

Answer 3

To solve this equation:

$3 \frac{1}{8} \cdot 1 \frac{3}{5} \cdot \frac{4}{15} \cdot x = 2 \frac{2}{17} \cdot 3 \frac{7}{9} \cdot \frac{15}{16}$

First, we need to calculate each side of the equation step by step:

Left-hand side (LHS): $3 \frac{1}{8} = \frac{25}{8}$ $1 \frac{3}{5} = \frac{8}{5}$ $\frac{4}{15}$ So, LHS = $\frac{25}{8} \cdot \frac{8}{5} \cdot \frac{4}{15} \cdot x$

Now, let's simplify the LHS:

LHS = $\frac{25}{8} \cdot \frac{8}{5} \cdot \frac{4}{15} \cdot x = \frac{25}{5} \cdot \frac{4}{15} \cdot x = 5 \cdot \frac{4}{15} \cdot x = \frac{20}{15} \cdot x = \frac{4}{3} \cdot x$

Right-hand side (RHS): $2 \frac{2}{17} = \frac{36}{17}$ $3 \frac{7}{9} = \frac{34}{9}$ $\frac{15}{16}$ So, RHS = $\frac{36}{17} \cdot \frac{34}{9} \cdot \frac{15}{16}$

Now, let's simplify the RHS:

RHS = $\frac{36}{17} \cdot \frac{34}{9} \cdot \frac{15}{16} = \frac{12}{17} \cdot \frac{34}{3} \cdot \frac{15}{16} = \frac{2}{17} \cdot 34 \cdot \frac{15}{3} \cdot \frac{1}{16} = \frac{10}{17} \cdot 5 \cdot \frac{1}{16} = \frac{50}{2720} = \frac{25}{1360}$

Now, we have:

$\frac{4}{3} \cdot x = \frac{25}{1360}$

To solve for x, multiply both sides by $\frac{3}{4}$:

$x = \frac{25}{1360} \cdot \frac{3}{4} = \frac{75}{5440} = \frac{15}{1088}$