Question

Find three rational numbers between 1/9 AND 1/4

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

The three rational numbers between  $\frac{1}{9}$ and $\frac{1}{4}$ are $\frac{5}{36},\frac{7}{36}, \frac{8}{36}$.

Step-by-step explanation:

Given the rational numbers $\frac{1}{9}$ and $\frac{1}{4}$.

A number expressed in the form of $\frac{x}{y}$ where x and y are two integers, and y not equal to zero, then the number is a rational number.

To find the rational numbers between the two numbers, convert the given rational numbers into equivalent rational numbers.

For this they must have the same denominator.

The least common multiple(LCM) of the denominators 9 and 4 is 36.

To make the denominator of $\frac{1}{9}$ equal to 36, multiply and divide $\frac{1}{9}$ with 4.

$\frac{1}{9}=\frac{1\times 4}{9\times 4}=\frac{4}{36}$

Similarly for $\frac{1}{4}$ , multiply and divide $\frac{1}{4}$ with 9.

$\frac{1}{4}=\frac{1\times 9}{4\times 9}=\frac{9}{36}$

The integers between the numerators 4 and 9 are 5, 6, 7, 8.

And hence the corresponding rational numbers between  $\frac{1}{9}$ and $\frac{1}{4}$ are

$\frac{5}{36},\frac{6}{36},\frac{7}{36}, \frac{8}{36}$

For any three rational numbers between  $\frac{1}{9}$ and $\frac{1}{4}$, we may have $\frac{5}{36},\frac{7}{36}, \frac{8}{36}$.