Question

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

Answer 1

Answer:

Step-by-step explanation:

1/2 x 4/4 = 4/8

= 4/8 x 7/7 = 28/56

5/8x 7/7 = 35/56

required nos. = 29/56,  30/56,  31/56,  32/56 ,33/56 & 34/56

Answer 2

The six rational number between $\frac{1}{2}$ and $\frac{5}{8}$ are $\frac{29}{56},\frac{30}{56},\frac{31}{56},\frac{32}{56},\frac{33}{56},\frac{34}{56}$.

Step-by-step explanation:

To find : Insert 6 rational number between $\frac{1}{2}$ and $\frac{5}{8}$ ?

Solution :

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 $\frac{35}{56}$ 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 $\frac{5}{8}$ are $\frac{29}{56},\frac{30}{56},\frac{31}{56},\frac{32}{56},\frac{33}{56},\frac{34}{56}$.

#Learn more

Find three rational numbers between ⅓ and ½​

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