Multiply & Divide Rational Numbers Practice

Question

Math 7 A, 6.23 Multiply & Divide Rational Numbers

Answer 1

To practice multiplying and dividing rational numbers, here are a few examples:

1) Multiply: (-3/4) * (5/6)
To multiply rational numbers, multiply the numerators and then multiply the denominators:

(-3/4) * (5/6) = (-3 * 5) / (4 * 6) = -15/24

2) Divide: (2/3) ÷ (1/5)
To divide rational numbers, multiply the first number by the reciprocal of the second number:

(2/3) ÷ (1/5) = (2/3) * (5/1) = (2 * 5) / (3 * 1) = 10/3

3) Multiply: 2/3 * (-4/7)
Remember to include negative signs when multiplying rational numbers with negative values:

2/3 * (-4/7) = (2 * -4) / (3 * 7) = -8/21

4) Divide: (-9/5) ÷ (-2/3)
When dividing rational numbers, it is important to multiply by the reciprocal of the second number:

(-9/5) ÷ (-2/3) = (-9/5) * (3/-2) = (9/5) * (2/3) = (9 * 2) / (5 * 3) = 18/15

You can continue to practice multiplying and dividing rational numbers using similar methods. Remember to simplify the fractions if possible by reducing them to the lowest terms.