Question
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Convert the decimal to a fraction or a mixed number. \[ 0.6 \]

Ask by Carter George. in the United States
Mar 10,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\(0.6\) as a fraction is \(\frac{3}{5}\).

Solution

1. Write the decimal \(0.6\) as a fraction over 10: \[ 0.6 = \frac{6}{10} \] 2. Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is \(2\): \[ \frac{6}{10} = \frac{6 \div 2}{10 \div 2} = \frac{3}{5} \] Thus, the decimal \(0.6\) converted to a fraction is \(\frac{3}{5}\).

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Mind Expander

Did you know that converting decimals to fractions is like transforming a superhero into their true identity? For the decimal \( 0.6 \), it's pretty straightforward! You can express it as \( \frac{6}{10} \), and then simplify that by dividing both the numerator and denominator by 2, resulting in \( \frac{3}{5} \). So, \( 0.6 \) is equivalent to \( \frac{3}{5} \)! Now, here's a quick tip: when you encounter decimals that go on forever, like \( 0.666...\), remember to be clever about it! Use the equation method where you let \( x = 0.666...\), then multiply by 10 (so \( 10x = 6.666...\)), and subtract to find that \( x = \frac{2}{3}\). This way, you master the art of decimal conversion like a true math wizard!

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