Question

insert 6 rational numbers between 1/2 and 5/8​

Answer 1

First we make the denominator same,

We multiply numerator and denominator of $\frac{1}{2}$ by 4,

$\frac{1}{2}=\frac{1\times 4}{2\times 4}=\frac{4}{8}$

Then multiply numerator and denominator both numbers by 7,

$\frac{4}{8}=\frac{4\times 7}{8\times 7}=\frac{28}{56}$

$\frac{5}{8}=\frac{5\times 7}{8\times 7}=\frac{35}{56}$

Now, the numbers between 28 and 35 are 29,30,31,32,33,34.

Six rational number between $\frac{28}{56}$ and $\frac{35}{56}$

$\bold{are \: \frac{29}{56},\frac{30}{56},\frac{31}{56},\frac{32}{56},\frac{33}{56},\frac{34}{56}}$

Therefore, the six rational number between $\frac{1}{2}$ and $\frac{5}{8}$

$\bold{ are \: \frac{29}{56},\frac{30}{56},\frac{31}{56},\frac{32}{56},\frac{33}{56},\frac{34}{56}}$

Answer 2

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