Question

multiply fractions and decimals quick check'

Answer 1

Sure! Here’s a quick guide on how to multiply fractions and decimals.

### Multiplying Fractions

1. **Multiply the Numerators**: Multiply the top numbers (numerators) of the fractions.
2. **Multiply the Denominators**: Multiply the bottom numbers (denominators) of the fractions.
3. **Simplify the Result**: If possible, simplify the resulting fraction.

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

### Multiplying Decimals

1. **Ignore the Decimals**: Temporarily treat the decimals as whole numbers to multiply.
2. **Count Decimal Places**: Count the total number of decimal places in both numbers.
3. **Position the Decimal**: Place the decimal in the product by starting from the right, based on the total decimal places counted.

**Example**:
\[
0.6 \times 0.3 \\
\text{Multiply as whole numbers: } 6 \times 3 = 18 \\
\text{Count decimal places: } (1 + 1) = 2 \\
\text{Place the decimal: } 0.18
\]

### Quick Check Examples

1. **Fractions**:
\[
\frac{3}{4} \times \frac{2}{5} = \frac{6}{20} = \frac{3}{10}
\]

2. **Decimals**:
\[
0.5 \times 0.4 \\
5 \times 4 = 20 \\
\text{(2 decimal places)} \rightarrow 0.20 = 0.2
\]

### Tips
- Simplify fractions before multiplying if possible.
- Always double-check the number of decimal places when multiplying decimals.

Feel free to ask if you want to see more examples or details!