Question

Can someone explain why this fraction flipped?

Answer 1

to obtain the reciprocal of a fraction is not just something we do. There are various reasons for it. Could you perhaps provide an example or lesson question you encountered so I can explain it to you more concretely?

Answer 2

My teacher said something about putting a one over the fraction thus making a complex fraction

Answer 3

when multiplying complex fraction you flip and multiply but, where does it say to do that? (flip and multiple)

Answer 4

consider the basic ideas:
\(\huge \frac{a}{b} = \frac{c}{d} \) if we were to solve for b we do the following:

\(\large \frac{a}{b} \times \frac{1}{a} = \frac{c}{d} \times \frac{1}{a} \rightarrow \frac{1}{b} = \frac{c}{da} \rightarrow \frac{1}{b} \times b = \frac{c}{da}\times b \rightarrow 1 = \frac{cb}{da}\)

Answer 5

then we \(\large 1 \times \frac{ad}{c} = b \rightarrow \frac{ad}{c} = b\)

Answer 6

see how if I divided both sides by a it becomes \( \large \frac{d}{c} = \frac{b}{a}\)