# We need to find a rational number halfway between any two rational numbers given in fraction form, add the two numbers together and divide their sum by 2. Find a rational number halfway between the two fractions in each pair. frac{1}{100} and frac{1}{10}

We need to find a rational number halfway between any two rational numbers given in fraction form, add the two numbers together and divide their sum by 2. Find a rational number halfway between the two fractions in each pair.
$\frac{1}{100}$ and $\frac{1}{10}$
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Given numbers:
$\frac{1}{100}$, $\frac{1}{10}$
Add the two numbers using least common denominator:
$\sum =\frac{1}{100}+\frac{1}{10}=\frac{1+10}{100}=\frac{11}{100}$
Divide the sum by 2:
$=\frac{11}{100\left(2\right)}=\frac{11}{200}$
Result: A rational number halfway between $\frac{1}{100}$ and $\frac{1}{10}$ is $\frac{11}{200}$.