Question

Multiply And divide rational number unit 3 lesson 14

Answer 1

To multiply and divide rational numbers, follow these steps:

Multiplying Rational Numbers:
1. Multiply the numerators (top numbers) together.
2. Multiply the denominators (bottom numbers) together.
3. Simplify the resulting fraction, if possible, by dividing both the numerator and denominator by their greatest common factor.

For example:
- Multiply: (3/4) * (5/6)
- Numerator: 3 * 5 = 15
- Denominator: 4 * 6 = 24
- Simplify: (15/24) = (5/8)

Dividing Rational Numbers:
1. Multiply the first fraction by the reciprocal (or "flip") of the second fraction.
2. Simplify the resulting fraction, if possible, by dividing both the numerator and denominator by their greatest common factor.

For example:
- Divide: (3/4) ÷ (5/6)
- Multiply the first fraction by the reciprocal of the second fraction: (3/4) * (6/5)
- Numerator: 3 * 6 = 18
- Denominator: 4 * 5 = 20
- Simplify: (18/20) = (9/10)