Answer
True
Work Step by Step
We start with the given expression: $36(\frac{1}{2}-\frac{4}{9})$
We apply the distributive property to expand the expression: $36(\frac{1}{2})-36(\frac{4}{9})$
We replace $36$ with $\frac{36}{1}$ so that we can multiply fractions: $\frac{36}{1}(\frac{1}{2})-\frac{36}{1}(\frac{4}{9})$
We multiply fractions from left to right by multiplying the numerators and denominators: $\frac{36}{2}-\frac{144}{9}$
We simplify each of the fractions: $18-16$
We subtract to obtain: $2$
Thus, the given statement is true.
