Question
Insert five rational numbers between $-\frac{2}{3}$ and $\frac{3}{4}$.
✓
Answer
$-\frac{2}{3}=\frac{-2 \times 4}{3 \times 4}=\frac{-8}{12}$
$\frac{3}{4}=\frac{3 \times 3}{4 \times 3}=\frac{9}{12}$
So, the five rational numbers between $-\frac{2}{3}$ and $\frac{3}{4}$ are $\frac{8}{12}, \frac{7}{12}, \frac{6}{12}, \frac{5}{12}$ and $\frac{4}{12}$
$\frac{3}{4}=\frac{3 \times 3}{4 \times 3}=\frac{9}{12}$
So, the five rational numbers between $-\frac{2}{3}$ and $\frac{3}{4}$ are $\frac{8}{12}, \frac{7}{12}, \frac{6}{12}, \frac{5}{12}$ and $\frac{4}{12}$
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