Question

Find ten ratinal no.s between 7/13 and -4/13. With Step by Step Explanantion.

Answer 1

Answer:

answers are 79/143 , 81/143, 82/149, -12/143, -13/143, -15/143, -16/143, -20/143, -21/143, -41/143

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Answer 2

Step 1 ⇒ We have to find the LCM of the denominators to make them equal but in the following question the denominators are already equal so we may not follow this step here.

Step 2 ⇒ See if the amount of rational numbers required is present between the two rational numbers. So here numbers between  $\frac{7}{13}$ and $\frac{-4}{13}$ are -

$\frac{-3}{13} , \frac{-2}{13} ,\frac{-1}{13} , 0 , \frac{1}{13},\frac{2}{13} , \frac{3}{13} , \frac{4}{13} , \frac{5}{13} ,\frac{6}{13}$

So we can see here that there are 9 rational numbers (excluding zero) between $\frac{7}{13}$ and $\frac{-4}{13}$.

Step 3 ⇒ We can find more rational numbers between them by multiplying any number to the numerator and denominator. Here I am multiplying 2 to numerator and denominator.

So now we find rational numbers between ⇒

$\frac{14}{26}$ and $\frac{-8}{26}$

So here numbers between  $\frac{14}{26}$ and $\frac{-8}{26}$ are -

$\frac{-7}{26},\frac{-6}{26},\frac{-5}{26} , \frac{-4}{26}, \frac{-3}{26} , \frac{-2}{26}, \frac{-1}{26} , \frac{1}{26} , \frac{2}{26} , \frac{3}{26} ,\frac{4}{26} , \frac{5}{26} ,\frac{6}{26} ,\frac{7}{26} ,\frac{8}{26} ,\frac{9}{26} ,\frac{10}{26} ,\frac{11}{26} ,\frac{12}{26} ,\frac{13}{26}$.

From these rational numbers you can choose any 10 and write them.