Question

find 5 rational number between. a. 2/3 and 3/4.​

Answer 1

Hey mate,

Multiply both numerator and denominator by 4 2/3 = 2×4/(3×4) = 8/12

Multiply both numerator and denominator by 4 8×4/(12×4) = 32/48

Multiply both numerator and denominator by 3 3/4 = 3×3/(4×3) = 9/12

Multiply both numerator and denominator by 4 9×4/(12×4) = 36/48

33/48, 34/48, 35/48 are 3 rational numbers between 2/3, 3/4. you can find more

thanks

Answer 2

Answer:

75/108, 76/108, 77/108, 74/108, 79/108

Step-by-step explanation:

The fractions 2/3 and 3/4 can be written as 8/12 and 9/12.

Consider an AP of 10 terms, where a = 8/12 and T10 = 9/12, We can find the common difference as follows.

T10 = (9/12) = (8/12) + 9d, or

9d = (9/12)-(8/12) = (1/12) or d = 1/108.

Next, write 8/12 as 72/108 and 9/12 as 81/108. So, we have the 8 rational numbers as 73/108, 74/108 (or 37/54). 75/108 (or 25/36), 76/108 (or 19/27), 77/108, 78/108 (or 39/54), 79/108 and 80/108 (or 20/27).

Please mark my answer as the brainliest