Question
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b. \( 1 \frac{5}{6} \times \frac{2}{5}= \)

Ask by Daniels Mcguire. in Egypt
Mar 19,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The result is \(\frac{11}{15}\) or \(0.7\dot{3}\).

Solution

Calculate or simplify the expression \( 1\frac{5}{6} \times \frac{2}{5} \). Calculate the value by following steps: - step0: Calculate: \(1\frac{5}{6}\times \frac{2}{5}\) - step1: Convert the expressions: \(\frac{11}{6}\times \frac{2}{5}\) - step2: Reduce the numbers: \(\frac{11}{3}\times \frac{1}{5}\) - step3: Multiply the fractions: \(\frac{11}{3\times 5}\) - step4: Multiply: \(\frac{11}{15}\) The result of \(1\frac{5}{6} \times \frac{2}{5}\) is \(\frac{11}{15}\) or \(0.7\dot{3}\).

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Beyond the Answer

To solve \( 1 \frac{5}{6} \times \frac{2}{5} \), let's first convert the mixed number to an improper fraction. \( 1 \frac{5}{6} = \frac{11}{6} \). Now we perform the multiplication: \( \frac{11}{6} \times \frac{2}{5} = \frac{11 \times 2}{6 \times 5} = \frac{22}{30} \). We can simplify this fraction by dividing both the numerator and denominator by 2, leading to \( \frac{11}{15} \). So, \( 1 \frac{5}{6} \times \frac{2}{5} = \frac{11}{15} \). Now that you've mastered multiplying fractions, you can use this skill in real life! Whether you're cooking a recipe, calculating distances, or dividing up items, the ability to handle fractions opens up a world of possibilities. Just remember, next time you're halving a cake or doubling a batch of cookies, it's all about those fractions! If you want to dive deeper into the world of fractions, a great resource is "The Joy of x" by Steven Strogatz. It offers insights into the beauty of mathematics, including fractions, in our daily lives. Or, check out online platforms like Khan Academy for engaging videos and exercises tailored to sharpen your fraction skills in no time!

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