Pregunta
Simplify \( \left.\begin{array}{l}\frac{2}{5}+\frac{3}{4} \\ \text { a. } \frac{5}{9} \\ \text { b. } \frac{6}{15} \\ \text { c. } \frac{23}{20} \\ \text { d. } \frac{7}{18}\end{array}\right) \)
Ask by Pena Cook. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The simplified sum is \( \frac{23}{20} \).
Solución
To simplify 2/5 + 3/4, first find a common denominator. The least common denominator for 5 and 4 is 20. Convert each fraction:
• 2/5 = (2×4)/(5×4) = 8/20
• 3/4 = (3×5)/(4×5) = 15/20
Now add the fractions:
8/20 + 15/20 = (8 + 15)/20 = 23/20
Thus, the simplified sum is 23/20, which corresponds to option c.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
To simplify \( \frac{2}{5} + \frac{3}{4} \), we need to find a common denominator. The least common multiple of 5 and 4 is 20. We convert each fraction: \[ \frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \] \[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \] Now we can add the fractions: \[ \frac{8}{20} + \frac{15}{20} = \frac{8 + 15}{20} = \frac{23}{20} \] Thus, the answer is \( \frac{23}{20} \), which corresponds to option **c.**
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