Cálculo de la edad de Sara a partir de operaciones con fracciones

MathematicsAlgebraic EquationsMedium

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La edad de Sara es igual a la suma de los elementos de una fracción $\frac{a}{b}$. Si se sabe que si se multiplica $\frac{6}{5}$ por $\frac{2}{3}$ y al resultado se adiciona $\frac{1}{3}$ para, finalmente, dividir este nuevo resultado entre $\frac{17}{13}$ se obtendría la fracción $\frac{a}{b}$, calcula la edad de Sara.

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Step 1

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Análisis del problema

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Step 2

El problema nos pide calcular la edad de Sara, que es la suma de los términos a y b de la fracción a sobre b.

$$\frac{a}{b} = \frac{(\frac{6}{5} \cdot \frac{2}{3} + \frac{1}{3})}{\frac{17}{13}}$$

Definición de la fracción

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Step 3

Primero, vamos a multiplicar las fracciones seis quintos y dos tercios.

$$\frac{6}{5} \cdot \frac{2}{3} = \frac{12}{15} = \frac{4}{5}$$
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Step 4

Ahora, sumamos un tercio a ese resultado de cuatro quintos.

$$\frac{4}{5} + \frac{1}{3} = \frac{12}{15} + \frac{5}{15} = \frac{17}{15}$$

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About This Question

Subject
Mathematics
Topic
Algebraic Equations
Difficulty
Medium
Question Type
Open Ended

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