divide -4/9 by 4/7

To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 4/7 is 7/4.

Therefore, you can rewrite the division as: (-4/9) * (7/4).

Next, multiply the numerators to get the new numerator: (-4) * (7) = -28.

Multiply the denominators to get the new denominator: (9) * (4) = 36.

Therefore, (-4/9) divided by (4/7) is equal to -28/36.

Simplifying this fraction further, both the numerator and denominator can be divided by 4:

-28/4 = -7
36/4 = 9

Thus, the simplified answer is -7/9.

To divide -4/9 by 4/7, follow these steps:

Step 1: Invert the divisor:
Flip the fraction 4/7 to obtain its reciprocal, which is 7/4.

Step 2: Multiply the dividend by the reciprocal of the divisor:
Multiply -4/9 by 7/4.

-4/9 * 7/4 = (-4 * 7) / (9 * 4) = -28/36

Step 3: Simplify the fraction (if necessary):
Find a common factor you can divide both the numerator and the denominator by. In this case, both -28 and 36 can be divided by 4.

-28/36 = -7/9

So, -4/9 divided by 4/7 equals -7/9.