Question

find 9 rational numbers between 3/5 and 4/6

Answer 1

this is the correct answer

Answer 2

Answer:

$\frac{91}{150} , \frac{92}{150} , \frac{93}{150} , \frac{94}{150} , \frac{95}{150} , \frac{96}{150} , \frac{97}{150} , \frac{98}{150} , \frac{99}{150}$

Step-by-step explanation:

To find the rational numbers between $\frac{3}{5} \ and \ \frac{4}{6}$, we first have to find the L.C.M. of the two given fractions.

L.C.M. of $\frac{3}{5} \ and \ \frac{4}{6}$ is $30$.

We will make their denominators the same:

$\frac{3}{5} \times \frac{6}{6} = \frac{18}{30} \\\\\\frac{4}{6} \times \frac{5}{5} = \frac{20}{30}$

In order to find the rational numbers, let us multiply and divide both the results with the same number:

$\frac{18}{30} \times \frac{5}{5} = \frac{90}{150} \\\\\frac{20}{30} \times \frac{5}{5} = \frac{100}{150}$

Therefore, the rational numbers between $\frac{3}{5} \ and \ \frac{4}{6}$ are:

$\frac{91}{150} , \frac{92}{150} , \frac{93}{150} , \frac{94}{150} , \frac{95}{150} , \frac{96}{150} , \frac{97}{150} , \frac{98}{150} , \frac{99}{150}$

Final Answer:

Hence, the $9$ rational numbers between $\frac{3}{5} \ and \ \frac{4}{6}$ are:

$\frac{91}{150} , \frac{92}{150} , \frac{93}{150} , \frac{94}{150} , \frac{95}{150} , \frac{96}{150} , \frac{97}{150} , \frac{98}{150} , \frac{99}{150}$

Link:

https://brainly.in/question/49437500?referrer=searchResults

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