1.Find the rational number between - 2/3 and 1/4
2.What is the rational number we get by multiplying 6/11 by the additive inverse of 11/18
Answers
Answer:
We will learn the reciprocal of a rational number.
For every non-zero rational number a/b there exists a rational number b/a such that
a/b × b/a = 1 = b/a × a/b
The rational number b/a is called the multiplicative inverse or reciprocal of a/b and is denoted by (a/b)-1.
The reciprocal of 12 is 1/12
The reciprocal of 5/16 is 16/5.
The reciprocal of 3/4 is 4/3 i.e., (3/4)^-1 = 4/3.
The reciprocal of -5/12 is 12/-5 i.e., (-5/12)^-1 = 12/-5.
The reciprocal of (-14)/17 is 17/-14 i.e., (-17)/14.
The reciprocal of -8 is 1/-8 i.e., (-1)/8.
The reciprocal of -5 is 1/-5, since -5 × 1/-5 = -5/1 × 1/-5 = -5 × 1/-5 × 1 = 1.
Answer:
we have 2/3 and 1/4
now multiply 2/3 by 4
2/3 × 4/4 = 8/12
and multiply 1/4 by 3
1/4 × 3/3 = 3/12
The rational no between 2/3 and 1/4 are 4/12 , 5/12 , 6/12 , 7/12 ..
Step-by-step explanation: