Question
Find a number between $\frac{1}{3}$ and $\frac{1}{4}$.
✓
Answer
We know that the arithmetic mean of two given numbers is always between them.
Number between $\frac{1}{3}$ and $\frac{1}{4}$
$
=\frac{\frac{1}{3}+\frac{1}{4}}{2}=\frac{\frac{4+3}{12}}{2}=\frac{\frac{7}{12}}{2}=\frac{7}{12} \times \frac{1}{2}=\frac{7}{24}
$
Hence, the number between $\frac{1}{3}$ and $\frac{1}{4}$ is $\frac{7}{24}$.
Number between $\frac{1}{3}$ and $\frac{1}{4}$
$
=\frac{\frac{1}{3}+\frac{1}{4}}{2}=\frac{\frac{4+3}{12}}{2}=\frac{\frac{7}{12}}{2}=\frac{7}{12} \times \frac{1}{2}=\frac{7}{24}
$
Hence, the number between $\frac{1}{3}$ and $\frac{1}{4}$ is $\frac{7}{24}$.
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