Question

find rational numbers between -2/5 and 1/2 pls help​

Answer 1

Answer:

correct answer is rational number 2/5

Answer 2

Answer -

• Rational numbers between -2/5 and 1/2 are -4/10, -3/10, -2/10, -1/10, 0/10, 1/10, 2/10, 3/10 and 4/10.

Given -

• Two rational numbers -2/5 and 1/2

To find -

• Rational numbers between them.

Step-by-step explanation -

• Here, we are asked to find rational numbers between -2/5 and 1/2. For this, we first have to make their denomiantor same. So let's find the LCM of their denominators [5, 2]

LCM of 5 and 2 -

$\begin{array}{c | c} \underline2 & \underline{5, 2} \\ \underline5 & \underline{5, 1} \\ & 1, 1\end{array}$

Hence -

• The LCM of 5 and 2 is 2 × 5 = 10.

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So, the given rational numbers can also be written as -

$\sf \dfrac{ - 2}{ \: \: \: 5} = \dfrac{ - 2 \times 2}{ \: \: \: 5 \times 2} = \dfrac{ - 4}{ \: \: 10}$

$\sf \dfrac{1}{2} = \dfrac{1 \times 5}{2 \times 5} = \dfrac{ \: 5}{10}$

Now -

$\bf \dfrac{ - 4}{10} , \dfrac{ - 3}{10} , \dfrac{ - 2}{10} \: ... \: \dfrac{ \: \: 5}{10}$

We can choose any rational numbers from here.

Thus -

• Rational numbers between -2/5 and 1/2 are -4/10, -3/10, -2/10, -1/10, 0/10, 1/10, 2/10, 3/10 and 4/10.

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