Question

Are these correct?

http://prntscr.com/9rp8y1
http://prntscr.com/9rp92r

Answer 1

@Mehek14

Answer 2

In general,

\(\color{#000000 }{ \displaystyle \frac{a }{c}\div \frac{m }{n} =\frac{a }{c}\times \frac{n }{m} }\)

And,

\(\color{#000000 }{ \displaystyle \frac{x^2}{x}=x^{2-1}=x }\)

\(\color{#000000 }{ \displaystyle \frac{x^3}{x^2}=x^{3-2}=x }\)

\(\color{#000000 }{ \displaystyle \frac{x^4}{x^3}=x^{4-3}=x }\)

Answer 3

For example,

\(\small\color{#000000 }{ \displaystyle \frac{5z^3}{12}\div \frac{5z^4}{27} =\frac{5z^3}{12}\times \frac{27}{5z^4} =\frac{5z^3}{5z^4}\times \frac{27}{12} =\frac{5z^3}{5z^4}\times \frac{9\times 3}{4\times 3} }\)

\(\small\color{#000000 }{ \displaystyle =\frac{5z^3}{5z^3\times z}\times \frac{9\times \cancel{3}}{4\times \cancel{3}}=\frac{\cancel{5z^3}}{\cancel{5z^3}\times z}\times \frac{9}{4} =\frac{1}{z}\times \frac{9}{4}=\frac{9}{4z} }\)

Answer 4

yes