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Find three rational numbers between 1/2 and 1/3 by mean method

Posted by Yash Khodre 5 years, 3 months ago

CBSE > Class 09 > Mathematics

3 answers

Sia ? 5 years, 3 months ago

Here a = {tex}\frac {1} {3}{/tex}, b = {tex}\frac {1} {2}{/tex}, n = 3
{tex}\therefore{/tex} {tex}\frac{b-a}{n+1}=\frac{\frac{1}{2}-\frac{1}{3}}{3+1}{/tex}{tex}=\frac{\frac{3-2}{6}}{4}{/tex}{tex}=\frac{\frac{1}{6}}{4}=\frac{1}{24}{/tex}
{tex}\therefore{/tex} Three rational numbers between {tex}\frac {1} {3}{/tex} and {tex}\frac {1} {2}{/tex} are
{tex}\frac{1}{3}+\frac{1}{24}, \frac{1}{3}+2\left(\frac{1}{24}\right), \frac{1}{3}+3\left(\frac{1}{24}\right){/tex}
{tex}\frac{1}{3}+\frac{1}{24}{/tex}, {tex}\frac{1}{3}+\frac{1}{12}{/tex}, {tex}\frac{1}{3}+\frac{1}{8}{/tex}
{tex}\frac{3}{8}, \frac{5}{12}, \frac{11}{24}{/tex}

2Thank You

Ritika Shaw 5 years, 3 months ago

11/24 ,9/24, 5/12

1Thank You

Shakti Sarkar 5 years, 3 months ago

You are great sia

1Thank You

ANSWER

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CBSE > Class 09 > Mathematics