Question

Find 4 rational number between ⅓ and ⅘​

Answer 1

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Answer 2

Answer :-

• 4 rational numbers between 1/3 and 4/5 are 6/15, 7/15, 8/15 and 9/15.

Given :-

• Two rational numbers.

To find :-

• Four rational numbers between them.

Step-by-step explanation :-

• To find 4 rational numbers between 1/3 and 4/5, we have to make their denominators same. For doing this, let's find the LCM of their denominators!

$\begin{array}{c | c} \underline3 & \underline{3,5} \\ \underline5 & \underline{1, 5} \\ & 1, 1\end{array}$

Hence :-

• The LCM of 3 and 5 is 3 × 5 = 15.

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The given numbers can also be written as :-

$\dfrac{1}{3} = \dfrac{1 \times 5}{3 \times 5} = \dfrac{5}{15}$

$\dfrac{4}{5} = \dfrac{4 \times 3}{5 \times 3} = \dfrac{12}{15}$

Now,

$\bf \dfrac{5}{15} , \dfrac{6}{15} , \dfrac{7}{15} \:...\:\dfrac{12}{15}$

We can take any 4 rational numbers from here.

Hence :-

• 4 rational numbers between 1/3 and 4/5 are 6/15, 7/15, 8/15 and 9/15.