Question

С 490. Есептеңдер: 1)(1/4-2/3)×(4/5-2/15)×(-3/5)= 2)(1/6-5/9)×(1/2-3/7)×71/5=3)(5/6-2/3)×(7/8-1/2)×(-4)=4)(3/8-1/6)×(2/9-2/5)×27=​

Answer 1

Ответ:

Пошаговое объяснение:

(1/4 -2/3)(4/5 -2/15)·(-3/5)=(3/12 -8/12)(12/15-2/15)·(-3/5)=-5/12 ·2/3 ·(-3/5)=1/6

(1/6 -5/9)(1/2 -3/7)·71/5=(3/18 -10/18)(7/14 -6/14)·71/5=-7/18 ·1/14 ·71/5=-71/(18·2·5)=-71/180

(5/6 -2/3)(7/8 -1/2)·(-4)=(5/6 -4/6)(7/8 -4/8)·(-4)=1/6 ·3/8 ·(-4)=-1/(2·2)=-1/4=-0,25

(3/8 -1/6)(2/9 -2/5)·27=(9/24 -4/24)(10/45 -18/45)·27=5/24 ·(-8/45)·27=-27/(3·9)=-27/27=-1

Answer 2

To evaluate the expressions, let's simplify each step and calculate the final result for each expression:

1) (1/4 - 2/3) × (4/5 - 2/15) × (-3/5)

Step 1: Simplify the fractions within each bracket: (1/4 - 2/3) = (-5/12) (4/5 - 2/15) = (58/75)

Step 2: Multiply the fractions within the brackets: (-5/12) × (58/75) = (-290/900)

Step 3: Simplify the result: (-290/900) = (-29/90)

Therefore, the answer to the first expression is -29/90.

2) (1/6 - 5/9) × (1/2 - 3/7) × 71/5

Step 1: Simplify the fractions within each bracket: (1/6 - 5/9) = (-11/18) (1/2 - 3/7) = (1/14)

Step 2: Multiply the fractions within the brackets: (-11/18) × (1/14) = (-11/252)

Step 3: Multiply the result by 71/5: (-11/252) × (71/5) = (-781/1260)

Therefore, the answer to the second expression is -781/1260.

3) (5/6 - 2/3) × (7/8 - 1/2) × (-4)

Step 1: Simplify the fractions within each bracket: (5/6 - 2/3) = (1/6) (7/8 - 1/2) = (3/8)

Step 2: Multiply the fractions within the brackets: (1/6) × (3/8) = (1/16)

Step 3: Multiply the result by -4: (1/16) × (-4) = (-1/4)

Therefore, the answer to the third expression is -1/4.

4) (3/8 - 1/6) × (2/9 - 2/5) × 27

Step 1: Simplify the fractions within each bracket: (3/8 - 1/6) = (1/24) (2/9 - 2/5) = (-4/45)

Step 2: Multiply the fractions within the brackets: (1/24) × (-4/45) = (-1/270)

Step 3: Multiply the result by 27: (-1/270) × 27 = (-1/10)

Therefore, the answer to the fourth expression is -1/10.

To summarize: 1) (-1/4 - 2/3) × (4/5 - 2/15) × (-3/5) = -29/90 2) (1/6 - 5/9) × (1/2 - 3/7) × 71/5 = -781/1260 3) (5/6 - 2/3) × (7/8 - 1/2) × (-4) = -1/4 4) (3/8 - 1/6) × (2/9 - 2/5) × 27 = -1/10