Question

Find five rational numbers between 7/9 and 8/11

Answer 1

Answer:

lcm of 9 and 11 is 99

7/9*11/11 and 8/11*9/9

77/99 and 72 /99

so the five rational numbers

73/99,74/99,75/99,76/99,77/99

Answer 2

5 rational numbers are-

5 rational numbers are- 433/594, 434/594, 435/594, 436/594, 437/594.

GIVEN

NUMBER range from 7/9 to 8/11

TO FIND

5 rational numbers

SOLUTION

We can simply solve the above problem as follows -

Rational numbers are number that can be represented as fractions where the denominator is greater than zero.

Since, 7/9 and 8/11 are unlike rational number as the denominators are unequal.

To make the denominator equal, will find the lcm of 9 and 11.

LCM of 9 and 11 =

$9|9,11$

$11 |1 \: ,1|$

LCM = 9 × 11 = 99

so,

$\frac{7 \times 11}{9 \times 11}$

= 77/99

similarly,

$\frac{8 \times 9}{11 \times 9}$

72 /99

since we have to find 5 rational numbers

Let us multiply the the denominator and numerator of numbers by 6

$\frac{77 \times 6}{99 \times 6} = \frac{462}{594}$

$\frac{72 \times 6}{99 \times 6} = \frac{432}{594}$

5 rational numbers are-

5 rational numbers are- 433/594, 434/594, 435/594, 436/594, 437/594.

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