Question
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c. \( \frac{8}{12}-\frac{3}{6}= \)

Ask by Harrington Hamilton. in the United States
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The result is \( \frac{1}{6} \) or \( 0.1\dot{6} \).

Solution

Calculate or simplify the expression \( 8/12-3/6 \). Calculate the value by following steps: - step0: Calculate: \(\frac{8}{12}-\frac{3}{6}\) - step1: Reduce the fraction: \(\frac{2}{3}-\frac{3}{6}\) - step2: Reduce the fraction: \(\frac{2}{3}-\frac{1}{2}\) - step3: Reduce fractions to a common denominator: \(\frac{2\times 2}{3\times 2}-\frac{3}{2\times 3}\) - step4: Multiply the numbers: \(\frac{2\times 2}{6}-\frac{3}{2\times 3}\) - step5: Multiply the numbers: \(\frac{2\times 2}{6}-\frac{3}{6}\) - step6: Transform the expression: \(\frac{2\times 2-3}{6}\) - step7: Multiply the numbers: \(\frac{4-3}{6}\) - step8: Subtract the numbers: \(\frac{1}{6}\) The result of \( \frac{8}{12}-\frac{3}{6} \) is \( \frac{1}{6} \) or \( 0.1\dot{6} \).

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Beyond the Answer

To solve this, you can start by finding a common denominator. The denominators here are 12 and 6. The least common multiple of 12 and 6 is 12. Thus, you can rewrite \(\frac{3}{6}\) as \(\frac{6}{12}\). Now the equation looks like this: \(\frac{8}{12} - \frac{6}{12} = \frac{2}{12}\), which simplifies to \(\frac{1}{6}\). Voilà, you have your answer! Now, let’s talk fractions! They’re super useful when diving into cooking or baking. Need to double a recipe? You’ll often be working with fractions, like converting 1/2 cup into 1 cup! Keeping those skills sharp ensures you don’t end up with a dessert that’s more akin to a pancake. Also, where’s the love for fractions in the real world? They pop up everywhere! If you’re splitting a bill with friends or figuring out a percentage off at a store, understanding how to manipulate and calculate with fractions makes you a savvy shopper! So next time you're calculating a sale price or sharing pizza, you’ll be a fraction master!

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