find 6 rational numbers between 3/4 and 7/4.
Answers
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☺!
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.