Question

2
Insert three rational numbers betwee -5/6 -3/4​

Answer 1

Step-by-step explanation:

three rational number between 3/4 and 5/6 are 3/12 ,4/12 and 5/12

Answer 2

To find : $3$ rational numbers between $\frac{-5}{6}$ and $\frac{-3}{4}$

Solution:

• According question we have to find rational numbers between  $\frac{-5}{6}$ and $\frac{-3}{4}$ for this we need to equalize denominators of the rational numbers by taking LCM.

• Therefore, LCM = $12$

• Now, multiplying numerators by same numbers as multiplied by denominator to make LCM .

• We get, $\frac{-5}{6}=\frac{-5 \times 2}{12}=\frac{-10}{12}$ and $\frac{-3}{4}=\frac{-3 \times 3}{12}=\frac{-9}{12}$
• writing the above obtained fraction as multiple of $10$ , therefore we get,

        $\frac{-100}{120}$ and $\frac{-90}{120}$

• Now, we can find rational numbers between $\frac{-100}{120}$ and $\frac{-90}{120}$

• They are :$\frac{-91}{120}, \frac{-92}{120}, \frac{-93}{120}$

Hence, $3$ rational numbers between  $\frac{-5}{6}$ and $\frac{-3}{4}$ are $\frac{-91}{120}, \frac{-92}{120}, \frac{-93}{120}$ .