Question

Find a rational number lying between 1/3 and 1/2​

Answer 1

Answer:

5/12

Step-by-step explanation:

lcm of 2 and 3 is 6

1/3=1/3×2/2=2/6

1/2=1/2×3/3=3/6

2/6=2/6×2/2=4/12

3/6=3/6×2/2=6/12

rational number between 1/3 and 1/2 =5/12

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Answer 2

Answer:

• A rational number between 1/3 and 1/2 is 5/12.

Step-by-step explanation:

To Find:

• A rational number between 1/3 and 1/2.

As we know that:

• If x and y are two rational numbers. Then,

$\sf{A\;rational\;number\;between \;x\;and\;y=\dfrac{1}{2}(x+y)}$

Here,

• x = 1/3
• y = 1/2

Substituting the values,

$\sf{A\;rational\;number\;between \;\dfrac{1}{3}\;and\;\dfrac{1}{2}=\dfrac{1}{2}\left(\dfrac{1}{3}+\dfrac{1}{2}\right)}$

Adding the numbers,

∵ LCM of 3 and 2 is 6.

$\sf\longrightarrow\dfrac{1}{2}\left(\dfrac{2+3}{6}\right)$

$\sf\longrightarrow\dfrac{1}{2}\left(\dfrac{5}{6}\right)$

Opening the brackets,

$\sf\longrightarrow\dfrac{1}{2}\times\dfrac{5}{6}$

Multiplying the numbers,

$\sf\longrightarrow\dfrac{5}{12}$

Hence, a rational number between 1/3 and 1/2 is 5/12.