Question

Three rational numbers lie between 7/8 -5/3

Answer 1

Answer:

it cannot be three it is infinite.....

Answer 2

Given:

Three rational numbers lie between 7/8 -5/3

Solution:

Make the denominator of the fraction same.

Multiply and divide $\[\frac{7}{8}\]$ by 3,

$\[\frac{{7 \times 3}}{{8 \times 3}} = \frac{{21}}{{24}}\]$

Multiply and divide $\[\frac{-5}{3}\]$ by 8,

$\[\frac{{ - 5 \times 8}}{{3 \times 8}} = \frac{{ - 40}}{{24}}\]$

Write three rational number lie between $\[\frac{{21}}{{24}}\]$ and $\[\frac{{ - 40}}{{21}}\]$

$\[ \Rightarrow \frac{{ - 15}}{{24}},\frac{{13}}{{24}},\frac{{17}}{{24}}\]$

Hence, the required rational numbers are $\[\frac{{ - 15}}{{24}},\frac{{13}}{{24}},\frac{{17}}{{24}}\]$.