Question
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(6) \( \frac{3}{4}-\frac{1}{6} \)

Ask by Morgan Bob. in the United States
Feb 27,2025

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Tutor-Verified Answer

Answer

The result is \( \frac{7}{12} \) or approximately 0.583.

Solution

Calculate or simplify the expression \( 3/4-1/6 \). Calculate the value by following steps: - step0: Calculate: \(\frac{3}{4}-\frac{1}{6}\) - step1: Reduce fractions to a common denominator: \(\frac{3\times 3}{4\times 3}-\frac{2}{6\times 2}\) - step2: Multiply the numbers: \(\frac{3\times 3}{12}-\frac{2}{6\times 2}\) - step3: Multiply the numbers: \(\frac{3\times 3}{12}-\frac{2}{12}\) - step4: Transform the expression: \(\frac{3\times 3-2}{12}\) - step5: Multiply the numbers: \(\frac{9-2}{12}\) - step6: Subtract the numbers: \(\frac{7}{12}\) The result of \( \frac{3}{4}-\frac{1}{6} \) is \( \frac{7}{12} \) or approximately 0.583.

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The Deep Dive

To subtract the fractions \( \frac{3}{4} \) and \( \frac{1}{6} \), we first need a common denominator. The least common multiple of 4 and 6 is 12. Now, we convert each fraction: \( \frac{3}{4} = \frac{9}{12} \) and \( \frac{1}{6} = \frac{2}{12} \). Now we can subtract: \( \frac{9}{12} - \frac{2}{12} = \frac{7}{12} \). So, the final answer is \( \frac{7}{12} \). Now you can impress your friends with your fraction skills! 🥳 Discovering the magic of fractions goes beyond just math class; they come into play in cooking, shopping discounts, and even splitting bills! Learning how to add, subtract, multiply, and divide fractions can help you perfectly slice that pizza when it's party time or calculate the best deals when you’re out shopping.

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