Question

Find ten rational number between - 3/4 and 5/6​

Answer 1

Answer:

LCM of 4 and 6 = 12

-3/4 = (-3×3) / (4×3) = -9/12

5/6 = (5×2) / (6×2) = 10/12

Hence, -8/12, -7/12, -6/12, -4/12, -3/12, -2/12, -1/12, 0, 1/12 and 2/12 are ten rational numbers between -3/4 and 5/6.

Answer 2

The given question is we have to find the ten rational number between the given expression.

The given expression is

$\frac{ - 3}{4} and \frac{5}{6}$

The LCM of these two numbers will be 12.

On multiplying to get the LCM the next step will be

$( \frac{ - 3}{4} \times 3) \\ ( \frac{5}{6} \times 2)$

The value will be

$\frac{ - 9}{12} and \: \frac{10}{12}$

It is easy to write a ten rational number between these two numbers because we can insert a positive and negative integers between them

Therefore, the rational numbers will be

$\frac{ - 9}{12} < \frac{ - 8}{12} < \frac{ - 7}{12} < \frac{ - 6}{12} < \frac{ - 5}{12} < \frac{ - 4}{12} < \frac{ - 3}{12} < \frac{1}{12} < \frac{3}{12} < \frac{5}{12} ...$

Therefore, the above given numbers are the rational numbers between the given two numbers.

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