Question

Find 3 rational numbers between -2/3 and 1/4 .
Please tell by step by step explanation .​

Answer 1

Answer:

Step 1: Let's first take the LCM of -2/3 and 1/4

Step 2: LCM of co-primes 3 and 4 is their product 12

Step 3: Multiply both the numerator and denominator of both the fractions in such a way that the denominator becomes 12

$\frac{-2}{\\3} \times \frac{4}{4} = \frac{-8}{\\12}$

$\frac{1}{4} \times \frac{3}{3} = \frac{3}{12}$

Step 4: Write any three rational numbers from the following:

$\frac{-7}{12}, \frac{-6}{12},\frac{-5}{12},\frac{-4}{12}, \frac{-3}{12} , \frac{-2}{12}, \frac{-1}{12}, \frac{0}{12}, \frac{1}{12}, \frac{2}{12}$

-7/12, -5/12, 1/12

(You can choose other numbers if required)

Hope this helps you!