Question
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Write the fraction \( \frac{6}{48} \) in simplest form.

Ask by Mills Johnson. in the United States
Mar 14,2025

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Answer

The simplest form of \( \frac{6}{48} \) is \( \frac{1}{8} \).

Solution

1. Given the fraction \( \frac{6}{48} \). 2. Find the greatest common divisor (GCD) of 6 and 48. The GCD of 6 and 48 is 6. 3. Divide both the numerator and the denominator by 6: \[ \frac{6 \div 6}{48 \div 6} = \frac{1}{8} \] 4. Therefore, the simplest form of \( \frac{6}{48} \) is \( \frac{1}{8} \).

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Extra Insights

To simplify the fraction \( \frac{6}{48} \), we seek the greatest common divisor (GCD) of the numerator and denominator. The GCD of 6 and 48 is 6. Dividing the numerator and the denominator by their GCD gives us: \[ \frac{6 \div 6}{48 \div 6} = \frac{1}{8} \] So, the simplest form of the fraction \( \frac{6}{48} \) is \( \frac{1}{8} \). Also, understanding how to simplify fractions not only helps with mathematics, but can be quite handy in real life! Suppose you’re cooking and a recipe calls for 6 cups of flour, but you want to make a smaller batch. Simplifying the amounts can help you scale recipes down to just what you need without the fuss. For further insights into fractions, try diving into books or websites that focus on elementary mathematics. You’ll find that exploring visual methods and fraction games can make learning fractions a lot more fun and engaging!

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