Question

multiply and divide rational number wuick check

Answer 1

To quickly multiply and divide rational numbers, follow these steps:

### Multiplying Rational Numbers
1. **Multiply the numerators.**
2. **Multiply the denominators.**
3. **Simplify if necessary.**

**Example:**
Multiply \( \frac{2}{3} \times \frac{4}{5} \).

\[
\frac{2 \times 4}{3 \times 5} = \frac{8}{15}
\]

### Dividing Rational Numbers
1. **Multiply by the reciprocal of the divisor.**
2. **Simplify if necessary.**

**Example:**
Divide \( \frac{3}{4} \div \frac{2}{5} \).

To divide, multiply by the reciprocal:

\[
\frac{3}{4} \times \frac{5}{2} = \frac{3 \times 5}{4 \times 2} = \frac{15}{8}
\]

### Quick Tips
- Always look for opportunities to simplify before multiplying or dividing.
- For negative numbers, remember that a negative divided by a positive is negative, and a positive divided by a negative is also negative. A negative divided by a negative is positive.

If you have specific rational numbers you want to multiply or divide, please provide them!