Question

write three rational numbers between minus 4 by 5 and minus 6 by 7​

Answer 1

Step-by-step explanation:

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

Answer 2

The answer is as follows; -113/140, -114/140, -115/140

GIVEN

Fractional numbers; -4/5 and -6/7

TO FIND

3 rational numbers between -4/5 and -6/7

SOLUTION

We can simply solve the above problem as follows;

We are given two fractional numbers; -4/5 and -6/7

We will first convert the given fraction to equivalent fractions by taking the LCM of the denominator.

LCM of 5 and 7 = 35

Therefore,

-4/5 = -28/35

-6/7 = -30/35

We will multiply both the fractions by 4/4

(-28/35)× (4/4) = -112/140

(-30/35) × (4/4) = -120/140

Three rational numbers between -112/140 and -120/140 are as follows; -113/140, -114/140, -115/140

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