Question
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a) \( \frac{1}{3}+\frac{5}{6}= \)

Ask by Lang Moran. in Colombia
Feb 26,2025

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Tutor-Verified Answer

Answer

La suma de 1/3 y 5/6 es 7/6.

Solution

Para sumar 1/3 y 5/6, primero encontramos un denominador común. El mínimo común denominador entre 3 y 6 es 6. Convertimos 1/3 a una fracción con denominador 6:  1/3 = 2/6 Ahora, sumamos:  2/6 + 5/6 = (2 + 5)/6 = 7/6 Por lo tanto, la respuesta es 7/6 (que también se puede expresar como 1 1/6 si se prefiere en forma de número mixto).

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The Deep Dive

To add \( \frac{1}{3} \) and \( \frac{5}{6} \), you need a common denominator. The least common multiple of 3 and 6 is 6. Convert \( \frac{1}{3} \) to sixths: \( \frac{1 \times 2}{3 \times 2} = \frac{2}{6} \). Now, add \( \frac{2}{6} + \frac{5}{6} = \frac{7}{6} \), which can also be expressed as \( 1 \frac{1}{6} \). Next time you're adding fractions, remember that finding a common denominator is key! It can save you from mixing up those fractions and lead you smoothly to the final result. Just think of it as tuning a guitar: you need all the strings (numerators) to work together under the same harmony (denominator)!

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