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Question Solve for \( x \). \( \quad-\frac{11}{3}=\frac{x}{6} \) Answer Attomptiout of 2 1 I Sulmit Anawr

Ask by Welch Harrington. in the United States
Jan 31,2025

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Tutor-Verified Answer

Answer

\( x = -22 \)

Solution

To solve for \( x \) in the equation: \[ -\frac{11}{3} = \frac{x}{6} \] **Step 1:** Multiply both sides of the equation by 6 to isolate \( x \): \[ 6 \times \left(-\frac{11}{3}\right) = x \] **Step 2:** Simplify the multiplication: \[ 6 \times \left(-\frac{11}{3}\right) = -22 \] **Step 3:** Therefore, \[ x = -22 \] **Answer:** \( x = -22 \)

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Beyond the Answer

To solve for \( x \), you can start by cross-multiplying to eliminate the fraction. Multiply both sides by 6: \(-\frac{11}{3} \times 6 = x\). This simplifies to \(-22 = x\). Therefore, \( x = -22\). Did you know that fractions have been used for thousands of years? Ancient Egyptians were among the first to use fractions, which helped them in trade and building monuments. They had unique notations, primarily using unit fractions, which made calculations quite different compared to what we’re familiar with today! On a practical note, fractions show up everywhere in daily life. Whether you're cooking, where you might need to measure half a cup of an ingredient, or calculating discounts during a shopping spree, understanding how to manipulate fractions is vital. So next time you dive into a recipe or grab a sale item, remember your fraction skills are at work!

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