Question

¿Qué número está a un tercio del camino de $\dfrac{1}{4}$ a $\dfrac{3}{4}$ ?

What number is one third of the way from $\dfrac{1}{4}$ to $\dfrac{3}{4}?$

$\dfrac{1}{3}$

$\dfrac{5}{12}$

$\dfrac{1}{2}$

$\dfrac{7}{12}$

$\dfrac{2}{3}$

La distancia de $\dfrac{1}{4}$ a $\dfrac{3}{4}$ es $\dfrac{1}{2}$ .

The distance from $\dfrac{1}{4}$ to $\dfrac{3}{4}$ is $\dfrac{1}{2}$

Suma un tercio de esa distancia a $\dfrac{1}{4}$ .

Add one third of that distance to $\dfrac{1}{4}$

El intervalo es $\dfrac{3}{4} - \dfrac{1}{4} = \dfrac{1}{2}.$ Avanzar un tercio del camino suma $\dfrac{1}{3} \cdot \dfrac{1}{2} = \dfrac{1}{6}.$

Así que el número es $\dfrac{1}{4} + \dfrac{1}{6} = \dfrac{3}{12} + \dfrac{2}{12} = \dfrac{5}{12}.$

Por lo tanto, la respuesta correcta es B.

The gap is $\dfrac{3}{4} - \dfrac{1}{4} = \dfrac{1}{2}.$ One third of the way adds $\dfrac{1}{3} \cdot \dfrac{1}{2} = \dfrac{1}{6}.$

So the number is $\dfrac{1}{4} + \dfrac{1}{6} = \dfrac{3}{12} + \dfrac{2}{12} = \dfrac{5}{12}.$

Thus, the correct answer is B.