Question

the rational number between 3/4 and 7/12 is________.​

Answer 1

Answer:

8/12 which can also be written as 2/3

Answer 2

SOLUTION

TO FILL IN THE BLANK

The rational number between 3/4 and 7/12 is ___

EVALUATION

Here the given rational numbers are

$\sf{ \dfrac{3}{4} \: \: \: and \: \: \dfrac{7}{12} }$

The denominators are 4 and 12

LCM of the denominators = 12

Thus we have

$\sf{ \dfrac{3}{4} = \dfrac{3 \times 3}{4 \times 3} = \dfrac{9}{12} }$

$\sf{ \dfrac{7}{12} = \dfrac{7}{12} }$

Now 7 < 8 < 9

Hence the required rational number is

$\sf{ \dfrac{8}{12} }$

$\sf{ = \dfrac{2}{3} }$

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