Math, asked by ruthvika64, 10 months ago

find five rational numbers between 3/5 and 2/3

Answers

Answered by radhika4383

2

Answer:

3/5,2/3

first we take a LCM of 5,3=15

15÷5×3=9

15÷3×2=10

9/15×6/6=54/90

10/15×6/6=60/90

five rational number between 3/5,2/3 are

55/90

56/90

57/90

58/90

59/90

Step-by-step explanation:

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Answered by Tanmayrajput05

15

$\Huge\fbox{\color{red}{ANSWER}}$

Given :-

There are two rational numbers are $\frac{3}{5}$ and $\frac{2}{3}$ .

To Find :-

L.C.M of $\frac{3}{5}$ and $\frac{2}{3}$ is 3×5 = 15

Now :-

$\frac{3}{5}$ => $\frac{3×3}{5×3}$ = $\frac{9}{15}$

$\frac{2}{3}$ => $\frac{2×5}{3×5}$ = $\frac{10}{15}$

Since difference between 9 and is very less, So multiply 10 in numerator and denominator in each rational number we get.

$\frac{9</em></strong><strong><em>×</em></strong><strong><em>10}{15</em></strong><strong><em>×</em></strong><strong><em>10}$ = $\frac{90}{100}$

$\frac{10</em></strong><strong><em>×</em></strong><strong><em>10}{15</em></strong><strong><em>×</em></strong><strong><em>10}$ = $\frac{100}{150}$

Now, 5 rational numbers are:

$\frac{91}{100}$

$\frac{92}{100}$

$\frac{93}{100}$

$\frac{94}{100}$

$\frac{95}{100}$

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