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Solve 4/9 ÷ (-5/7) = _____ (Explain step by step.)

User Huy Tower
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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.

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