Pregunta
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1r. Snow loves his coffee. He fills up a cup \( 8 / 10 \) full. He drinks \( 2 / 5 \) of his Arink. How much does he have left?

Ask by Gibson Daniel. in the United States
Feb 21,2025

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Snow has \( \frac{12}{25} \) of his cup of coffee left.

Solución

Step 1: Snow fills his cup to 8/10 of its capacity. Step 2: He drinks 2/5 of the coffee in the cup. To find the amount he drinks, multiply the full amount by 2/5:   Amount drunk = (2/5) × (8/10) = 16/50 = 8/25 Step 3: Subtract the amount he drank from the original 8/10 of the cup:   Remaining amount = (8/10) − (8/25) To subtract these fractions, convert 8/10 to a fraction with denominator 25:   8/10 = 20/25 So,   Remaining amount = (20/25) − (8/25) = 12/25 Thus, Snow has 12/25 of his cup of coffee left.

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Bonus Knowledge

To find how much coffee Snow has left, we start with the amount he fills his cup: \( \frac{8}{10} \). Snow drinks \( \frac{2}{5} \) of his drink. To perform the calculation, we first convert \( \frac{2}{5} \) into a fraction with a denominator of 10 for easier subtraction. Since \( \frac{2}{5} = \frac{4}{10} \), he drinks \( \frac{4}{10} \) of his drink. Now we subtract the amount he drank from the amount he originally had: \[ \frac{8}{10} - \frac{4}{10} = \frac{4}{10} \] To simplify \( \frac{4}{10} \), we can divide both the numerator and the denominator by 2: \[ \frac{4 \div 2}{10 \div 2} = \frac{2}{5} \] Therefore, Snow has \( \frac{2}{5} \) of his coffee left.

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