Subjects arithmetic

Fraction Multiplication Fc9073

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1. The problem is to multiply the fractions $\frac{1}{5}$ and $\frac{1}{2}$. 2. The formula for multiplying fractions is: $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ 3. Applying the formula: $$\frac{1}{5} \times \frac{1}{2} = \frac{1 \times 1}{5 \times 2} = \frac{1}{10}$$ 4. This means one half of one fifth is one tenth. 5. The left square model correctly shows this because it highlights half of the one-fifth section, representing $\frac{1}{10}$. 6. The right square model does not clearly show half of the one-fifth section. Final answer: $$\frac{1}{5} \times \frac{1}{2} = \frac{1}{10}$$