Question

1/4a = 2/3 . which of the following equals a in this equation? (32 points)

O 1/6

O 3/8

O 11/12

O2 2/3

Answer 1

We need to use the division property of equality to solve this problem.

So we need to divide both sides by 1/4 to isolate a and solve for it.

\[\large \bf \frac{1}{4}a \div \frac{1}{4} = \frac{2}{3} \div \frac{1}{4}\]
\[\large \bf \frac{2}{3} \div \frac{1}{4} = \frac{2}{3} \times \frac{4}{1} = \color{green}{\frac{8}{3}}\]

Check:
\[\large \bf \frac{1}{4} \times \frac{8}{3} = \frac{8}{12} = \color{red}{\frac{2}{3}}\]

Answer 2

@calculusxy so would it be 2 2/3?

Answer 3

Yes