Question

Find three rational numbers between 7/6 and 2/3

Answer 1

$\frac{7}{6} and \frac{2}{3} \\ lcm \: of \: 6and3 = 2 \times 3 = 6 \\ \frac{7 \times 1}{6 \times 1} = \frac{7}{6} \: \: \: \: \: \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \\ we \: can \: multiply \: any \: number \\ so \: i \: will \: mutiply \: it \: by \: 10 \\ \frac{7 \times 10}{6 \times 10} = \frac{70}{60} \: \: \: \: \frac{4 \times 10}{6 \times 10} = \frac{40}{60} \\ so \: three \: rational \: numbers \: are \\ \frac{69}{60} \: \: \frac{68}{60} \: \: \frac{67}{60}$

Answer 2

which of the following is a rational number between 7/6 and 2/3

a) 6/4

b) 5/2

c) 4/5

d) 3/5

6/4 and 3/5 is a answer