Question

PLEASE PLEASE HELP I WILL GIVE A MEDIAL AND FAN YOU JUST PLEASE PLEASE HELP

Match each equation with its solution for n.

Match Term Definition
n divided by four equals eight−ninths A) one and one−half
five−eighths n equals one−fourth B) three and five−ninths
two−fifths n equals three−fifths C) two and four−fifths
n divided by seven equals two−fifths D) two−fifths

Answer 1

SOMEONE PLEASE HELP

Answer 2

First, write the questions out:
\[\frac{n}{4} = \frac{8}{9}\]
\[\frac{5}{8}*n = \frac{1}{4}\]
\[\frac{2}{5}*n = \frac{3}{5}\]
\[\frac{n}{7} = \frac{2}{5}\]

Answer 3

Next, write the answer choices out:
\[1\frac{1}{2} = \frac{3}{2}\]
\[3\frac{5}{9} = \frac{32}{9}\]
\[2\frac{4}{5} = \frac{14}{5}\]
\[\frac{2}{5}\]

Answer 4

Then, try plugging in the possible answer choices to n in the questions.
Start with n = 2/5, as it's the easiest. When we get to the second one, the following happens:
\[\frac{5}{8} * \frac{2}{5} = \frac{10}{40} = \frac{1}{4}\]
That looks like a match!

Try plugging in 3/2 to the remaining three options and see which one matches.

Answer 5

BTW, because of the following properties:
\[\frac{n}{4} = n*\frac{1}{4}\]
\[\frac{n}{7} = n*\frac{1}{7}\]
The first and last options can be rewritten as:
\[n*\frac{1}{4} = \frac{8}{9}\]
\[n*\frac{1}{7} = \frac{2}{5}\]

Answer 6

Thank you @LukeBlueFive

Answer 7

You're very welcome.