Question

1) (-4/5)•(-3/8)•(-5/12) 2) (-9/10)•5/6•(-2/3) 3) (-7/8)•(-5/6)•(-24/25) 4) (-25/44)•63/100•22/45•(-2 целые 2/7)

Answer 1

1) -1/8; 2) 1/2; 3) -7/10; 4) 2/5

Answer 2

To simplify these expressions, you can perform the multiplication and reduce the fractions wherever possible. Here are the simplified results for each expression:

1. (-4/5) • (-3/8) • (-5/12)

Multiply the numerators and denominators:

(-4 * -3 * -5) / (5 * 8 * 12) = -60 / 480

Reduce the fraction:

-60 / 480 = -1 / 8

So, the simplified result is -1/8.

2. (-9/10) • (5/6) • (-2/3)

Multiply the numerators and denominators:

(-9 * 5 * -2) / (10 * 6 * 3) = 90 / 180

Reduce the fraction:

90 / 180 = 1/2

So, the simplified result is 1/2.

3. (-7/8) • (-5/6) • (-24/25)

Multiply the numerators and denominators:

(-7 * -5 * -24) / (8 * 6 * 25) = -840 / 1200

Reduce the fraction:

-840 / 1200 = -7/10

So, the simplified result is -7/10.

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

First, convert the mixed number to an improper fraction:

-2 2/7 = -16/7

Multiply the numerators and denominators:

(-25 * 63 * 22 * -16) / (44 * 100 * 45 * 7) = 50400 / 13860000

Reduce the fraction:

50400 / 13860000 = 1 / 275

So, the simplified result is 1/275.

Note: Make sure to check the calculations, especially with complex expressions, to avoid errors in the final results.