Question

Insert six rational number between -4/5 and -7/15​

Answer 1

Answer:

First we will make it equaivalent fraction

-4/5 x 3/3= -12/15

-2/3 x 5/5= -10/15

now we will multiply both the fractions by 5+1 as we require five rational no.s

so, we will get

-12/15 x 6/6= -72/90

-10/15 x 6/6= -60/90

five rational numbers between are -63/90; -64/90; -65/90; -66/90; -70/90

THIS IS ANSWER

Answer 2

To find : $6$ rational numbers between $\frac{-4}{5}$  and $\frac{-7}{15}$ .

Solution:

• According question we have to find rational numbers between  $\frac{-4}{5}$  and $\frac{-7}{15}$  for this we need to equalize denominators of the rational numbers by taking LCM.
• Therefore, LCM =  $15$
• Now, multiplying numerators by same numbers as multiplied by denominator to make LCM .
• We get,$\frac{-4}{5}=\frac{-4 \times 3}{15}=\frac{-12}{15} and \frac{-7}{15}=\frac{-7 \times 1}{15}=\frac{-7}{15}$
• Now, we can find rational numbers between$\frac{-12}{15}$ and $\frac{-7}{15}$
• They are :  $\frac{-8}{15}, \frac{-9}{15}, \frac{-10}{15}, \frac{-11}{15}$

Hence, $6$  rational numbers between are $\frac{-4}{5}$  and $\frac{-7}{15}$ are $\frac{-8}{15}, \frac{-9}{15}, \frac{-10}{15}, \frac{-11}{15}$ .