The correct answer is \( \frac{12}{40} \). To simplify it, you can divide both the numerator and denominator by their greatest common factor, which is 4, to get \( \frac{3}{10} \).
2. \( 1 \frac{1}{4} \times 2 \frac{1}{5} \)
To multiply mixed numbers, you can first convert them to improper fractions:
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Step-by-step explanation:
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1. \( \frac{3}{8} \times \frac{4}{5} = \frac{3 \cdot 4}{8 \cdot 5} = \frac{12}{40} \)
The correct answer is \( \frac{12}{40} \). To simplify it, you can divide both the numerator and denominator by their greatest common factor, which is 4, to get \( \frac{3}{10} \).
2. \( 1 \frac{1}{4} \times 2 \frac{1}{5} \)
To multiply mixed numbers, you can first convert them to improper fractions:
\( 1 \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} \)
\( 2 \frac{1}{5} = \frac{5}{5} + \frac{1}{5} = \frac{6}{5} \)
Now, multiply the improper fractions:
\( \frac{5}{4} \times \frac{6}{5} = \frac{5 \cdot 6}{4 \cdot 5} = \frac{30}{20} \)
To simplify, divide both the numerator and denominator by their greatest common factor, which is 10:
\( \frac{30}{20} = \frac{3}{2} \)
So, the correct answer is \( \frac{3}{2} \).
3. \( \frac{3}{4} \times 12 = \frac{3 \cdot 12}{4} = \frac{36}{4} \)
To simplify, divide both the numerator and denominator by their greatest common factor, which is 4:
\( \frac{36}{4} = 9 \)
So, the correct answer is 9.