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6 ( 1\frac{1}{3} div \frac{3}{7} = \frac{square}{3} \times \frac{7}{squ…

Question

6 ( 1\frac{1}{3} div \frac{3}{7} = \frac{square}{3} \times \frac{7}{square} = \frac{square}{square} )

Explanation:

Step1: Convert mixed number to improper fraction

$1\frac{1}{3} = \frac{1\times3 + 1}{3} = \frac{4}{3}$

Step2: Rewrite division as multiplication by reciprocal

Dividing by $\frac{3}{7}$ equals multiplying by $\frac{7}{3}$, so the denominator in the reciprocal is $3$.
$\frac{4}{3} \times \frac{7}{3}$

Step3: Multiply numerators and denominators

Multiply top terms: $4\times7=28$; multiply bottom terms: $3\times3=9$
$\frac{4\times7}{3\times3} = \frac{28}{9}$

Answer:

Los números que completan los espacios son, en orden: $4$, $3$, $\frac{28}{9}$
La operación completa es: $1\frac{1}{3} \div \frac{3}{7} = \frac{4}{3} \times \frac{7}{3} = \frac{28}{9}$