Question
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Which of the following is equivalent to \( \left(\frac{7}{4}\right)\left(\frac{1}{2}\right) ? \)

Ask by Norton Pollard. in the United States
Feb 27,2025

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Answer

The expression is equivalent to \( \frac{7}{8} \) or 0.875.

Solution

Calculate or simplify the expression \( (7/4)*(1/2) \). Calculate the value by following steps: - step0: Calculate: \(\frac{7}{4}\times \frac{1}{2}\) - step1: Multiply the fractions: \(\frac{7}{4\times 2}\) - step2: Multiply: \(\frac{7}{8}\) The expression \( \left(\frac{7}{4}\right)\left(\frac{1}{2}\right) \) is equivalent to \( \frac{7}{8} \) or 0.875.

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To solve \( \left(\frac{7}{4}\right)\left(\frac{1}{2}\right) \), simply multiply the numerators and the denominators. This gives you: \[ \frac{7 \times 1}{4 \times 2} = \frac{7}{8}. \] So, the equivalent expression is \( \frac{7}{8} \). For a fun fact, the fraction \( \frac{7}{8} \) is a common measurement in cooking, especially when scaling recipes. For instance, if a recipe calls for 1 cup of sugar, you'll need just a bit less than that – about 7/8 of a cup! So next time you're whipping up something sweet, remember this handy fraction! If you're ever confused about multiplying fractions, remember the acronyms! Think "top times top, bottom times bottom." Just keep it simple: for any fraction multiplication, it's always about straightforward multiplying - no need for common denominators like when adding or subtracting. Happy calculating!

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