Question

1)-4 1/6•2 2/5= 2)-4 1/6•(-1 4/7)=

Answer 1

Ответ:

1)-10

2)6 23/42

Пошаговое объяснение:

1)-4 1/6×2 2/5＝-25/4×12/5＝-10

2)-4 1/6×(-14/7)＝-25/6×(-14/7)＝6 23/42

Answer 2

Let's solve the given expressions step by step:

1. (-4 1/6) * (2 2/5)

To multiply mixed numbers, first, convert them into improper fractions (fractions with numerators greater than denominators).

(-4 1/6) can be written as -((6 * 4 + 1) / 6) = -((24 + 1) / 6) = -(25 / 6) (2 2/5) can be written as (5 * 2 + 2) / 5 = (10 + 2) / 5 = 12 / 5

Now, multiply the fractions:

(-25 / 6) * (12 / 5)

To multiply fractions, multiply the numerators and denominators separately:

Numerator: (-25) * 12 = -300 Denominator: 6 * 5 = 30

The result in fraction form is -300 / 30, but we can simplify this fraction:

-300 / 30 = -10

So, the result of the first expression is -10.

2. (-4 1/6) * (-1 4/7)

As before, convert the mixed numbers into improper fractions:

(-4 1/6) can be written as -((6 * 4 + 1) / 6) = -((24 + 1) / 6) = -(25 / 6) (-1 4/7) can be written as -((7 * 1 + 4) / 7) = -((7 + 4) / 7) = -(11 / 7)

Now, multiply the fractions:

(-25 / 6) * -(11 / 7)

To multiply fractions, multiply the numerators and denominators separately:

Numerator: (-25) * (-11) = 275 Denominator: 6 * 7 = 42

The result in fraction form is 275 / 42, but we can simplify this fraction:

275 / 42 = 5 5/42

So, the result of the second expression is 5 5/42.