Question

1)3 1/5*(-1 1/4)= 2) -5/7+1 1/6= 3)36:(-4/9)= 4) 4 2/3*(-1 4/7)=

Answer 1

Ответ:

1)-4

2)19/42

3)-81

4)7 1/3

Пошаговое объяснение:

Answer 2

Let's solve the expressions one by one:

1. To multiply fractions, we multiply the numerators and denominators. To multiply mixed numbers, we convert them into improper fractions.

Converting 3 1/5 into an improper fraction: 3 * 5 + 1 = 16 16/5

Converting -1 1/4 into an improper fraction: -1 * 4 + 1 = -3 -3/4

Multiplying the fractions: (16/5) * (-3/4) = (16 * -3) / (5 * 4) = -48/20

Simplifying the fraction: -48/20 = -12/5 = -2 2/5

Therefore, 3 1/5 * (-1 1/4) is equal to -2 2/5.

2. To add mixed numbers, we convert them into improper fractions.

Converting -5/7 into a mixed number: Dividing -5 by 7, we get -5/7 = -0.714285...

Converting 1 1/6 into an improper fraction: 1 * 6 + 1 = 7 7/6

Adding the fractions: -5/7 + 7/6 = (-5 * 6 + 7 * 7) / (7 * 6) = (-30 + 49) / 42 = 19/42

Simplifying the fraction: 19/42 cannot be simplified further.

Therefore, -5/7 + 1 1/6 is equal to 19/42.

3. When dividing by a fraction, we multiply by its reciprocal.

Converting -4/9 to its reciprocal: Reciprocal of -4/9 is -9/4.

Dividing 36 by -4/9: 36 * (-9/4) = -324/4

Simplifying the fraction: -324/4 = -81

Therefore, 36 / (-4/9) is equal to -81.

4. Similar to the first example, we will convert the mixed numbers into improper fractions.

Converting 4 2/3 into an improper fraction: 4 * 3 + 2 = 14 14/3

Converting -1 4/7 into an improper fraction: -1 * 7 + 4 = -3 -3/7

Multiplying the fractions: (14/3) * (-3/7) = (14 * -3) / (3 * 7) = -42/21

Simplifying the fraction: -42/21 = -2

Therefore, 4 2/3 * (-1 4/7) is equal to -2.