2. Multiply. \( \frac{3}{2} \times 8= \) \( \frac{1}{6} \times 9= \) \( \frac{2}{3} \times 6= \) \( \qquad \) \[ \begin{array}{l} \frac{6}{5} \times 2= \\ \frac{10}{9} \times 7= \end{array} \]
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To multiply a fraction by a whole number, simply multiply the numerator of the fraction by the whole number while keeping the denominator the same. For example, \( \frac{3}{2} \times 8 = \frac{3 \times 8}{2} = \frac{24}{2} = 12 \). It's like a little math magic trick, turning fractions into whole numbers! For \( \frac{1}{6} \times 9 = \frac{1 \times 9}{6} = \frac{9}{6} = \frac{3}{2} \), which can also be expressed as 1.5. Similarly, \( \frac{2}{3} \times 6 = \frac{2 \times 6}{3} = \frac{12}{3} = 4 \). It’s super satisfying when everything fits just right! Calculating \( \frac{6}{5} \times 2 = \frac{6 \times 2}{5} = \frac{12}{5} = 2.4 \), and \( \frac{10}{9} \times 7 = \frac{10 \times 7}{9} = \frac{70}{9} \approx 7.78 \). So, whether it’s whole numbers or fractions, you can tackle them with confidence and a flair for fun!