1.

Find two rational number of_5. if the one rational number is 7/12 what is the other number?

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.


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