Question

Solve for t.
3/4t = 1/4


A.1/3

B.1

C.4/3

D.4

Answer 1

We have..
$\frac{3}{4}t=\frac{1}{4}$

$\mathrm{Multiply\:both\:sides\:by\:}4 \ \textgreater \ 4\cdot \frac{3}{4}t=\frac{1\cdot \:4}{4} \ \textgreater \ Next\;simplify$

$4\cdot \frac{3}{4}t \ \textgreater \ \mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \ \frac{3\cdot \:4}{4}t$

$\mathrm{Cancel\:the\:common\:factor:}\:4 \ \textgreater \ t\cdot \:3$

$\frac{1\cdot \:4}{4} \ \textgreater \ \mathrm{Multiply\:the\:numbers:}\:1\cdot \:4=4 \ \textgreater \ \frac{4}{4}$

$\mathrm{Apply\:rule}\:\frac{a}{a}=1$

$3t=1 \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}3 \ \textgreater \ \frac{3t}{3}=\frac{1}{3} \ \textgreater \ t=\frac{1}{3}$

Hope this helps!

Answer 2

I have included a picture. In the picture you will find the work shown and the answer.