Answer:
See below!
Step-by-step explanation:
Flipping the fractions when dividing by a fraction isn't a new rule, but a smart trick based on the idea that dividing by something is the same as multiplying by its inverse.
Think of it like this:
Divide by a fraction: [tex] \dfrac{a }{\frac{b}{c}} [/tex]
Multiply by the inverse: [tex] a \times \frac{c}{b}[/tex]
Since flipping the numerator and denominator gives the inverse, we can rewrite the multiplication as:
[tex] \dfrac{a }{\frac{b}{c}} = a \times \frac{c}{b}[/tex]
This essentially transforms the division problem into a familiar multiplication problem with flipped fractions, making calculations easier.
Remember, flipping isn't mandatory, but it's a convenient way to simplify division by fractions.
