Question

list five rational numbers between -2/3 and -7/4

Answer 1

Answer:

i will help you mate

Step-by-step explanation:

LCM of 3 and 4 is 12

-2/3 x 4/4 = -8/12

-7/4 x 3/3 = -21/12

The rational numbers between -8/12 and -21/12 are:

-9/12, -10/12, -11/12, -12/12[-1], -13/12, -14/12, -15/12, -16/12, -17/12, -18/12, -19/12, -20/12

you can take any 5 of these numbers mate

Hope this helps you!

have a great day!

Answer 2

To find : five rational numbers between $\frac{-2}{3}$ and $\frac{-7}{4}$  

Solution :

• According to question we have to find five rational numbers between $\frac{-2}{3}$ and $\frac{-7}{4}$  .
• To find the numbers between given rational numbers we get need to equalize denominators of both the rational numbers. By taking LCM
• Therefore, LCM = $12$
• Now, multiplying numerators of both rational numbers by same number as multiplied by denominators to make LCM.
• Therefore, we get ,    $\frac{-2}{3} = \frac{-8}{12}\ \ ; \ \ \frac{-7}{4} = \frac{-21}{12}$
• Now , we can find five numbers between $\frac{-8}{12}$ and $\frac{-21}{12}$  
• They are : $\frac{-9}{12} , \frac{-10}{12} , \frac{-11 }{12} , \frac{-12}{12} , \frac{-13}{12}$ .

Hence , five numbers between $\frac{-2}{3}$ and $\frac{-7}{4}$   are  $\frac{-9}{12} , \frac{-10}{12} , \frac{-11 }{12} , \frac{-12}{12} , \frac{-13}{12}$ .