Question

(1/3-5/8)*(-6/7) (-5/12-7/30):13/15​

Answer 1

Ответ в конце: -3/16 или 0,18

Answer 2

To simplify the expression (1/3 - 5/8) * (-6/7), we'll perform the following steps:

First, let's find a common denominator for 3 and 8, which is 24. Then, we can rewrite the expression as: (8/24 - 15/24) * (-6/7)

Next, we can subtract the numerators and keep the common denominator: (-7/24) * (-6/7)

Now, we can cancel out the common factor of 7: (-1/24) * (-6/1)

Multiply the numerators and denominators together: (-1 * -6) / (24 * 1)

Simplify the numerator and denominator: 6 / 24

Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6: 1 / 4

Therefore, the value of (1/3 - 5/8) * (-6/7) is 1/4.

Now, let's simplify the expression (-5/12 - 7/30) : (13/15):

To divide fractions, we invert the second fraction and multiply: (-5/12 - 7/30) * (15/13)

To find a common denominator for 12 and 30, we can multiply them together, resulting in 360. Then, we can rewrite the expression as: (-75/360 - 84/360) * (15/13)

Next, we can subtract the numerators and keep the common denominator: (-159/360) * (15/13)

To simplify this expression, we can cancel out common factors: (-53/120) * (15/13)

Multiply the numerators and denominators together: (-53 * 15) / (120 * 13)

Simplify the numerator and denominator: (-795) / (1560)

Since there are no common factors between -795 and 1560, the fraction cannot be reduced further.

Therefore, the value of (-5/12 - 7/30) : (13/15) is -795/1560.