To write \( 3 \cdot \frac{6}{14} \) as a single fraction, you can follow these steps:
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You start with the expression: \[ 3 \cdot \frac{6}{14} \]
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Rewrite the whole number \( 3 \) as a fraction: \[ 3 = \frac{3}{1} \]
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Now, multiply the fractions: \[ \frac{3}{1} \cdot \frac{6}{14} = \frac{3 \cdot 6}{1 \cdot 14} \]
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Calculate the numerator and denominator: \[ \frac{18}{14} \]
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Simplify the fraction: \[ \frac{18 \div 2}{14 \div 2} = \frac{9}{7} \]
Thus, the expression \( 3 \cdot \frac{6}{14} \) as a single fraction is: \[ \frac{9}{7} \]