Question

Simplify. Can you explain it also?

Answer 1

Answer:

The answer is

$\frac{3c}{4e}$

Step-by-step explanation:

$\frac{9 {c}^{3}d {e}^{2} }{12 {c}^{2} d {e}^{3} }$

To solve the fraction reduce the fraction with d

That's we have

$\frac{9 {c}^{3} {e}^{2} }{12 {c}^{2} {e}^{3} }$

Next simplify the expression using the rules of indices to simplify the letters in the fraction

For c

Since they are dividing we subtract the exponents

We have

${c}^{3} \div {c}^{2} = {c}^{3 - 2} = c^{1} = c$

For e

$e^{2} \div {e}^{3} = e^{2 - 3} = {e}^{ - 1} = \frac{1}{e}$

Substituting them into the expression we have

$\frac{9c}{12e}$

Reduce the fraction by 3

We have the final answer as

$\frac{3c}{4e}$

Hope this helps you