Question

3 1/8 × (-1 3/5) × (-4/15) × (-x) = 2 2/17 × 3 7/9 × (-15/16)

Answer 1

3 1/8 · (-1 3/5) · (-4/15) · (-х) = 2 2/17 · 3 7/9 · (-15/16)

25/8 · (-8/5) · (-4/15) · (-х) = 36/17 · 34/9 · (-15/16)

-4/3х = -15/2

х = -15/2 : (-4/3)

х = 15/2 · 3/4

х = 45/8

х = 5 целых 5/8

Ответ: 5 целых 5/8.

Пояснения:

3 1/8 · (-1 3/5) = 25/8 · (-8/5) = -25/5 = -5           (+) · (-) = (-)

-5 · (-4/15) = 4/3                                                   (-) · (-) = (+)

4/3 · (-х) = -4/3х                                                   (+) · (-) = (-)

- - - - - - - - - - - -

2 2/17 · 3 7/9 = 36/17 · 34/9 = (4·2)/(1·1) = 8        (+) · (+) = (+)

8 · (-15/16) = -15/2                                                 (+) · (-) = (-)

- - - - - - - - - - - -

-4/3х = -15/2                                                          (-) : (-) = (+)

Answer 2

To solve this equation, you can start by simplifying both sides.

First, let's simplify the fractions on both sides of the equation:

Left side: 3 1/8 = 25/8 -1 3/5 = -8/5 -4/15 (already simplified) -x (as it is)

Right side: 2 2/17 = 36/17 3 7/9 = 34/9 -15/16 (already simplified)

Now, the equation becomes:

(25/8) * (-8/5) * (-4/15) * (-x) = (36/17) * (34/9) * (-15/16)

Now, let's simplify further by multiplying the fractions:

(25/8) * (-8/5) * (-4/15) * (-x) = (36/17) * (34/9) * (-15/16)

Now, let's multiply the fractions on both sides:

(25/8) * (8/5) * (4/15) * (-x) = (36/17) * (34/9) * (-15/16)

Now, simplify the fractions on both sides:

(1) * (1) * (1/15) * (-x) = (2) * (2/3) * (-15/16)

Now, we have:

(1/15) * (-x) = (4/3) * (-15/16)

To isolate x, we can multiply both sides of the equation by -15 to get rid of the fraction:

(1/15) * (-15x) = (4/3) * (-15/16)

Now, the equation becomes:

-x = (4/3) * (-15/16)

Now, simplify:

-x = -(5/4)

To solve for x, multiply both sides by -1:

x = 5/4

So, the solution to the equation is:

x = 5/4