Question

1) -8 2/5 : 72) 13 4/5 : (-6)3) -18 3/4 : (-3)​

Answer 1

1) - 1 1/5

2) -2 3/10

3) 6 1/4

Решение: 1) -8 2/5 : 7 = 42/35 = - 6*7/5*7 = -1 1/5 , 2) 13 4/5 : -6 = -69/30 = 23 * 3/10 * 3 = 2 3/10 , 3) 18 3/4 : -3 = 75/12 = 25 * 3/4 * 3 = 6 1/4

Answer 2

To solve the given expressions, follow these steps:

1. -8 2/5 : 7 To divide a mixed number by a whole number, convert the mixed number into an improper fraction and then divide:

Step 1: Convert -8 2/5 into an improper fraction: -8 2/5 = - (8 * 5 + 2)/5 = - (42/5)

Step 2: Divide - (42/5) by 7:

• (42/5) ÷ 7 = - (42/5) * (1/7) = - (42/35) = -6/5

The result is -6/5.

2. 13 4/5 : (-6) To divide a mixed number by a negative whole number, follow similar steps as above:

Step 1: Convert 13 4/5 into an improper fraction: 13 4/5 = (13 * 5 + 4)/5 = (69/5)

Step 2: Divide (69/5) by -6: (69/5) ÷ (-6) = (69/5) * (-1/6) = - (69/30) = -23/10

The result is -23/10.

3. -18 3/4 : (-3) To divide a negative mixed number by a negative whole number, follow similar steps as above:

Step 1: Convert -18 3/4 into an improper fraction: -18 3/4 = - (18 * 4 + 3)/4 = - (75/4)

Step 2: Divide - (75/4) by -3:

• (75/4) ÷ (-3) = - (75/4) * (-1/3) = - (75/12) = -25/4

The result is -25/4.