Sure! Here’s a quick guide on how to multiply fractions and decimals.
Multiplying Fractions
- Multiply the Numerators: Multiply the top numbers (numerators) of the fractions.
- Multiply the Denominators: Multiply the bottom numbers (denominators) of the fractions.
- 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
- Ignore the Decimals: Temporarily treat the decimals as whole numbers to multiply.
- Count Decimal Places: Count the total number of decimal places in both numbers.
- 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
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Fractions: \[ \frac{3}{4} \times \frac{2}{5} = \frac{6}{20} = \frac{3}{10} \]
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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!
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