Question

Divide −4/9

by 4/7
.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To divide -4/9 by 4/7, we need to multiply -4/9 by the reciprocal of 4/7.

The reciprocal of 4/7 is 7/4.

Now we can multiply -4/9 by 7/4:

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

We can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:

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

Therefore, -4/9 ÷ 4/7 = -7/9.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To divide fractions, follow these steps:

Step 1: Keep the first fraction as it is: -4/9
Step 2: Change the division sign into multiplication: -4/9 * (reciprocal of 4/7)
Step 3: Find the reciprocal of the second fraction: 7/4
Step 4: Multiply the first fraction by the reciprocal of the second fraction: -4/9 * 7/4

Now let's simplify the resulting fraction:

Step 5: Multiply the numerators: -4 * 7 = -28
Step 6: Multiply the denominators: 9 * 4 = 36

The simplified fraction is -28/36.

Step 7: Reduce the fraction if possible by dividing both the numerator and the denominator by their greatest common divisor.
Greatest Common Divisor (GCD) of 28 and 36 is 4.
So, divide both the numerator and denominator by 4: -28/4 ÷ 36/4
This gives the fully simplified fraction: -7/9.

Therefore, -4/9 divided by 4/7 is equal to -7/9.