Final answer:
To solve 4/9 ÷ (-5/7), we change the division into multiplication by using the reciprocal of -5/7, which is -7/5, making the calculation 4/9 * -7/5. This results in (4*-7)/(9*5) that simplifies to -28/45.
Step-by-step explanation:
To solve the problem 4/9 ÷ (-5/7), you need to understand the operation of division involving fractions. Division can be turned into multiplication by using the reciprocal of the divisor. So, instead of dividing by -5/7, we will multiply by -7/5, so 4/9 ÷ -5/7 becomes 4/9 * -7/5.
Next, perform the multiplication operation by multiplying the numerators (the top numbers) together and the denominators (the bottom numbers) together to get a new fraction. This results in (4 * -7)/(9 * 5) which simplifies to -28/45.
Therefore, you can conclude that 4/9 divided by -5/7 equals -28/45.
Learn more about Division of Fractions