Question

Expand the expression 1/2(4t-10)

Answer 1

Hello there! Hope I can help!

$\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \ \frac{1\cdot \left(4t-10\right)}{2}$

$\mathrm{Apply\:rule}\:1\cdot \:a=a \ \textgreater \ \frac{4t-10}{2}$

$4t-10 \ \textgreater \ Rewrite \ \textgreater \ 2\cdot \:2t-2\cdot \:5 \ \textgreater \ \mathrm{Factor\:out\:common\:term\:}2$
$2\left(2t-5\right)$

$\frac{2\left(2t-5\right)}{2} \ \textgreater \ \mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1 \ \textgreater \ 2t-5$

Hope this helps!