Question

Find five rational numbers between - 5/7
and - 3/8

Answer 1

-5/7 and. -3/8

-5/7x 8/8 = -40/56 x 10/10= -40/560

-3/8 X 7/7= -21\56 x10x10= -210/560

the three rational number between -40/560 and -210/560 are -39/560;-38/560;-37/560;36/560;-35/560;-34/560

Answer 2

Answer:

Step-by-step We should have same denominator,

Therefore,

- \frac{ 5}{7} = - \frac{5 \times 8}{7 \times 8} = - \frac{40}{56} \\ \\ and \: \\ \\ - \frac{ 3}{8} = - \frac{ 3 \times 7}{8 \times 7 } = - \frac{21}{56} \\ \\Now, \\\\ Five \: rational \: numbers \: between \\ \: - \frac{5}{7} \: \: and \: \: - \frac{3}{8} \: \: are \\ \\ - \frac{39}{56} \:, - \frac{ 38}{56} \:, - \frac{ 37}{56} \: ,- \frac{ 36}{56} \: ,- \frac{35}{56} We should have same denominator,

Therefore,

- \frac{ 5}{7} = - \frac{5 \times 8}{7 \times 8} = - \frac{40}{56} \\ \\ and \: \\ \\ - \frac{ 3}{8} = - \frac{ 3 \times 7}{8 \times 7 } = - \frac{21}{56} \\ \\Now, \\\\ Five \: rational \: numbers \: between \\ \: - \frac{5}{7} \: \: and \: \: - \frac{3}{8} \: \: are \\ \\ - \frac{39}{56} \:, - \frac{ 38}{56} \:, - \frac{ 37}{56} \: ,- \frac{ 36}{56} \: ,- \frac{35}{56} :