Question
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e. \( \frac{7}{8}-\frac{3}{5}= \)

Ask by Schofield Powers. in the United States
Jan 24,2025

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Answer

\(\frac{7}{8} - \frac{3}{5} = \frac{11}{40}\)

Solution

Para resolver la resta de fracciones \(\frac{7}{8} - \frac{3}{5}\), sigue estos pasos: 1. **Encontrar el mínimo común múltiplo (MCM) de los denominadores:** - Los denominadores son 8 y 5. - El MCM de 8 y 5 es 40. 2. **Convertir las fracciones al mismo denominador:** - \(\frac{7}{8} = \frac{7 \times 5}{8 \times 5} = \frac{35}{40}\) - \(\frac{3}{5} = \frac{3 \times 8}{5 \times 8} = \frac{24}{40}\) 3. **Realizar la resta de las fracciones:** \[ \frac{35}{40} - \frac{24}{40} = \frac{35 - 24}{40} = \frac{11}{40} \] 4. **Respuesta final:** \[ \frac{7}{8} - \frac{3}{5} = \frac{11}{40} \]

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To solve \( \frac{7}{8}-\frac{3}{5} \), we'll first find a common denominator. The least common multiple of 8 and 5 is 40. Now, convert both fractions: \( \frac{7}{8} = \frac{35}{40} \) and \( \frac{3}{5} = \frac{24}{40} \). Now, subtract: \( \frac{35}{40} - \frac{24}{40} = \frac{11}{40} \). So, \( \frac{7}{8}-\frac{3}{5} = \frac{11}{40} \). Here's a quick tip: always convert to the lowest common denominator first to avoid confusion. Keep practicing these operations, and soon, you'll be a fraction pro! Also, have you ever wondered how fractions were first used? Back in ancient Mesopotamia, they had sophisticated systems for trade and measurement, making them some of the first users of fractions! Fractions have come a long way since then!

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