Texas 7th Grade Math Question of the Day

Because you can cross-multiply any time you see fractions, so dividing becomes multiplying automatically.

Because flipping both fractions keeps the value the same, and multiplication is easier than division.

Because dividing by a nonzero fraction multiplies by its multiplicative inverse: for any nonzero $\frac{c}{d}$, $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$ since $\frac{c}{d}\times \frac{d}{c} = 1$.

Because multiplication and division are commutative, so the order and operation can be switched.