Ms. Stewart asked her students to find the quotient 5/9 divided by 5/7. One student's answer is represented in the following work. 5/9 divided by 5/7 = 35/63 divided by 45/63= 35/45. What is the correct quotient of 5/9 divided by 5/7?

Respuesta :

Answer:

7/9

Step-by-step explanation:

5/9 ÷ 5/7

Dividing fractions:

We use copy dot flip.

Copy

5/9

Change the division to multiplication.

5/9 *

Flip the second fraction.

5/9 * 7/5

Canceling the fives.

7/9

Final answer:

To find the correct quotient of 5/9 divided by 5/7, you multiply 5/9 by the reciprocal of 5/7, which is 7/5. After simplifying the product 35/45, the answer is 7/9.

Explanation:

The question asks for the correct quotient of 5/9 divided by 5/7. To divide one fraction by another, you multiply the first fraction by the reciprocal of the second. This means we multiply 5/9 by the reciprocal of 5/7, which is 7/5.

Performing the multiplication:

  • (5/9) × (7/5) = 35/45

Finally, the fraction 35/45 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5. Thus, the simplified answer:

  • 35/45 = 7/9

Therefore, the correct quotient of 5/9 divided by 5/7 is 7/9.