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8 ( 3\frac{1}{2} div \frac{square}{8} = \frac{7}{square} \times \frac{8…

Question

8 ( 3\frac{1}{2} div \frac{square}{8} = \frac{7}{square} \times \frac{8}{7} = \frac{square}{square} = square )

Explanation:

Step1: Convert mixed number to fraction

$3\frac{1}{2} = \frac{3\times2 + 1}{2} = \frac{7}{2}$

Step2: Identify divisor from reciprocal

Dividing by $\frac{a}{b}$ is multiplying by $\frac{b}{a}$. Here the reciprocal is $\frac{8}{7}$, so the divisor is $\frac{7}{8}$. Thus the first box is 7.

Step3: Fill the fraction denominator

The original mixed number converted to $\frac{7}{2}$, so the empty denominator is 2.

Step4: Multiply the fractions

$\frac{7}{2} \times \frac{8}{7} = \frac{7\times8}{2\times7} = \frac{56}{14}$

Step5: Simplify the fraction

$\frac{56}{14} = 4$

Answer:

Los números en los recuadros (de izquierda a derecha) son: 7, 2, $\frac{56}{14}$, 4