Question

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

Answer 1

Answer:

$\text{ The 5 rational numbers are }\frac{91}{150}, \frac{92}{150}, \frac{93}{150}, \frac{94}{150}, \frac{95}{150}$

Step-by-step explanation:

We have to find 5 rational numbers between

$\frac{3}{5}\text{ and }\frac{2}{3}$

First we have to make the denominator same

$\frac{3}{5}=\frac{3\times 3}{5\times 3}=\frac{9}{15}=\frac{9\times 10}{15\times 10}=\frac{90}{150}$

$\frac{2}{3}=\frac{2\times 5}{3\times 5}=\frac{10}{15}=\frac{10\times 10}{15\times 10}=\frac{100}{150}$

The 5 rational numbers are

$\frac{91}{150}, \frac{92}{150}, \frac{93}{150}, \frac{94}{150}, \frac{95}{150}$

     

Answer 2

Step-by-step explanation:

The 5 rational numbers are

150

91

,

150

92

,

150

93

,

150

94

,

150

95

Step-by-step explanation:

We have to find 5 rational numbers between

\frac{3}{5}\text{ and }\frac{2}{3}

5

3

and

3

2

First we have to make the denominator same

\frac{3}{5}=\frac{3\times 3}{5\times 3}=\frac{9}{15}=\frac{9\times 10}{15\times 10}=\frac{90}{150}

5

3

=

5×3

3×3

=

15

9

=

15×10

9×10

=

150

90

\frac{2}{3}=\frac{2\times 5}{3\times 5}=\frac{10}{15}=\frac{10\times 10}{15\times 10}=\frac{100}{150}

3

2

=

3×5

2×5

=

15

10

=

15×10

10×10

=

150

100

The 5 rational numbers are

\frac{91}{150}, \frac{92}{150}, \frac{93}{150}, \frac{94}{150}, \frac{95}{150}

150

91

,

150

92

,

150

93

,

150

94

,

150

95