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What is a rational number between 1/6 and 1/12...

Sagot :

bigman7658
1/10 is between 1/6 and 1/12
1/10 = .1
lublana

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

We are given that two rational numbers [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{12}[/tex]

We have to find a rational number between [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{12}[/tex].

Let c be the rational number lie between [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{12}[/tex].

[tex]c=\frac{a+b}{2}[/tex]

Where a and b are rational number

[tex]a=\frac{1}{6}, b=\frac{1}{12}[/tex]

Therefore, [tex]c=\frac{\frac{1}{6}+\frac{1}{12}}{2}[/tex]

[tex]c=\frac{\frac{2+1}{12}}{2}=\frac{3}{12\times 2}=\frac{1}{8}[/tex]

Hence, the rational number between [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{12}[/tex] =[tex]\frac{1}{8}[/tex]

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