7. \( \frac{1}{8} \times 3 \frac{1}{4}= \)
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Beyond the Answer
To solve \( \frac{1}{8} \times 3 \frac{1}{4} \), first convert the mixed number into an improper fraction. \( 3 \frac{1}{4} = \frac{13}{4} \). Now, multiply: \[ \frac{1}{8} \times \frac{13}{4} = \frac{1 \times 13}{8 \times 4} = \frac{13}{32} \] So, the answer is \( \frac{13}{32} \). If you're a visual learner, drawing a fraction bar can help! Divide a rectangle into eight equal parts to represent \( \frac{1}{8} \), and then shade one part, representing that you're working with only one slice. Then think of the \( 3 \frac{1}{4} \) as four groups of three slices, which can help visualize the multiplication better! Another trick is to remember that multiplying fractions involves multiplying the numerators together and the denominators together. Just keep practicing, and soon this will feel like a piece of cake!
