Find ten rational numbers between 2 by 3 and 3 by 4
Answers
given :- 2/3 and 3/4
first of all, we have to make sure whether the denominator of both rational number is equal or not. if not first we have to make them equal.
LCM of 3 and 4 = 12
➡ 2/3 = (2 × 4)/(3 × 4) = 8/12
➡ 3/4 = (3 × 3)/(4 × 3) = 9/12
but still there's no rational number between them.
we have to find 10.
so let's multiply both the rational numbers by = 10 + 1 = 11
➡ 8/12 = 88/132
➡ 9/12 = 99/132
hence, 10 rational numbers between them are :- 89/132, 90/132, 91/132, 92/132, 93/132, 94/132, 95/132, 96/132, 97/132 and 98/132.
Answer:
Step-by-step explanation:
Lcm of 3 and 4 is 12.
Make the two rationals like
2*4/3*4and 3*3/4*3, we get
8/12 and 9/12. Again we make the denominator bigger and like by multiplying with say 15
8*15/12*15 and 9*15/12*15
=> 120/180 and 135/180
Hence the required ten rational numbers can be
121/180, 122/180, 123/180,124/180,125/180
126/180,127/180,128/180,129/180 and
130/180