Question

(-4/5)*(-3/8)*(-5/12)=? (-9/10)*5/6*(-2/3=? (-7/8)*(-5/6)*(24/25=? (-25/44)*63/100*22/45*(-2 2/7)=?

Answer 1

Ответ:

Пошаговое объяснение:

-1/2 *1/4= - 1/8

Answer 2

Let's calculate each of these expressions step by step:

1. (-4/5) * (-3/8) * (-5/12)

   = (4/5) * (3/8) * (5/12) (Negating all the negatives)

   Now, you can cancel out common factors in the numerators and denominators:

   = (4/5) * (1/2) * (1/2)

   Multiply the numerators together and the denominators together:

   = (4 * 1 * 1) / (5 * 2 * 2)

   = 4/20

   Since 4 and 20 share a common factor of 4, you can simplify:

   = (4/4) * (1/5)

   = 1 * (1/5)

   = 1/5

2. (-9/10) * (5/6) * (-2/3)

   = (9/10) * (5/6) * (2/3) (Negating the negatives)

   Now, you can cancel out common factors in the numerators and denominators:

   = (3/10) * (5/1) * (2/3)

   Multiply the numerators together and the denominators together:

   = (3 * 5 * 2) / (10 * 1 * 3)

   = 30/30

   Since the numerator and denominator are the same, the result is:

   = 1

3. (-7/8) * (-5/6) * (24/25)

   = (7/8) * (5/6) * (24/25) (Negating the negatives)

   Now, you can cancel out common factors in the numerators and denominators:

   = (7/8) * (5/1) * (24/25)

   Multiply the numerators together and the denominators together:

   = (7 * 5 * 24) / (8 * 1 * 25)

   = 840/200

   Simplify by dividing both the numerator and denominator by their greatest common factor, which is 40:

   = (840/40) / (200/40)

   = 21/5

4. (-25/44) * (63/100) * (22/45) * (-2 2/7)

   = (25/44) * (63/100) * (22/45) * (-16/7) (Negating the negative and converting the mixed number to an improper fraction)

   Now, you can cancel out common factors in the numerators and denominators:

   = (25/44) * (63/100) * (22/45) * (-16/7)

   Multiply the numerators together and the denominators together:

   = (25 * 63 * 22 * (-16)) / (44 * 100 * 45 * 7)

   = -453600/1386000

   Simplify by dividing both the numerator and denominator by their greatest common factor, which is 3600:

   = (-453600/3600) / (1386000/3600)

   = -126/387

   To further simplify, you can divide both the numerator and denominator by their greatest common factor, which is 9:

   = (-14/43)