Question

Solve for t.

3/4t = 1/4


A.1/3

B.1

C.4/3

D.4

Answer 1

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

Answer 2

We have..

`(3)/(4)t=(1)/(4)`


`\mathrm{Multiply\:both\:sides\:by\:}4 \ \textgreater \ 4\cdot (3)/(4)t=(1\cdot \:4)/(4) \ \textgreater \ Next\;simplify`


`4\cdot (3)/(4)t \ \textgreater \ \mathrm{Multiply\:fractions}: \:a\cdot (b)/(c)=(a\:\cdot \:b)/(c) \ \textgreater \ (3\cdot \:4)/(4)t`


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


`(1\cdot \:4)/(4) \ \textgreater \ \mathrm{Multiply\:the\:numbers:}\:1\cdot \:4=4 \ \textgreater \ (4)/(4)`


`\mathrm{Apply\:rule}\:(a)/(a)=1`


`3t=1 \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}3 \ \textgreater \ (3t)/(3)=(1)/(3) \ \textgreater \ t=(1)/(3)`

Hope this helps!