Question

Write five rational number between -3/5 and 5/3

Answer 1

Answer:

CROSS MULTIPLY THE DENOMINATOR:

$\frac{ - 3}{5} \times \frac{3}{3} = \frac{ - 9}{15} \\ \\ \\ \frac{5}{3} \times \frac{5}{5} = \frac{25}{15}$

NOW FIVE RATIONAL NUMBERS BETWEEN -9/15 AND 25/15 ARE:

$\frac{1}{15} < \frac{2}{15} < \frac{11}{15} < \frac{17}{15} < \frac{24}{15}$

Answer 2

As per the data given in the above question .

we have to find the five rational number between

$\frac{ - 3}{5} \: and \: \frac{5}{3}$

Now ,solution

we have to multiply numerator and denominator to get the values .

1. 5 and 3 are denominator in each of the following ,so take L.C.M. to get the value .

.2. L.C.M is 5×3= 15

$\frac{ - 3 \times 3}{5 \times 3} \: and \: \frac{5 \times 5}{3 \times 5}$

3. Multiply above values to each other

$\frac{ - 9}{15} \: and \: \frac{25}{15}$

4. Now we can write any five rational number ,

$\frac{ - 8}{15} ,\frac{ - 7}{15} , \frac{ - 6}{15} , \frac{ - 5}{15} ,.\frac{ - 4}{15} , \frac{ - 3}{15} , \frac{ - 2}{15} , \frac{ - 1}{15}, \\ \frac{ 0}{15} , \frac{ 1}{15} , \frac{ 2}{15} , \frac{ 3}{15}, ................ upto \frac{24}{15} </p><p>$

Hence , there are 33 rational numbers .

Project code #SPJ2