Question

find 6 rational numbers between 3/4 and 7/4.

Answer 1

☆Hello Friend☆

As gap between 3/4 and 7/4 is insuffficient

So we will increase gap :-

3/4 × 10/10 = 30/40

7/4 × 10/10 = 70/40

30/ 40 < 35/40 < 40/40 < 45/40 < 50/40 < 55/40 < 60/40 < 70/40

Hope it helps☺!

Answer 2

Given,

The two rational numbers = 3/4 and 7/4

To find,

The 6 rational numbers between 3/4 and 7/4.

Solution,

The six rational numbers between 3/4 and 7/4 will be 31/40, 32/40,33/40,34/40,35/40, and 36/40.

We can easily solve this problem by following the given steps.

The given two rational numbers are 3/4 and 7/4. Their denominators are the same which is 4.

To find, the 6 rational numbers, we need to multiply the numerator and denominator of both the fractions by 10.

3×10/4×10 = 30/40

7×10/4×10 = 70/40

Now, there are many rational numbers between 30/40 and 70/40.

The six rational numbers can be 31/40, 32/40,33/40,34/40,35/40, and 36/40.

( Note that if the denominators of the two fractions are different then we would first make their denominators the same by taking their LCM.)

Hence, the six rational numbers between 3/4 and 7/4 will be 31/40, 32/40,33/40,34/40,35/40, and 36/40.