Question

Please help! Simplify the complex fraction.
2/5t-3/3t / 1/2t+1/2t

Answer 1

??

Answer 2

What's the fraction?

Answer 3

hey gabby u need some help?

Answer 4

yea but in english..

Answer 5

I post it as a picture

Answer 6

I don't see a picture.

Answer 7

yea me either

Answer 8

I post the fraction with the question I guess the picture didn't show up

Answer 9

\(\large \bf \cfrac{
\frac{2}{5t}-\frac{3}{3t}
}{
\frac{1}{2t}+\frac{1}{2t}
}\quad ?\)

Answer 10

yes!

Answer 11

well.. got any ideas on the LCD of the numerator? \(\bf \cfrac{2}{5t}-\cfrac{3}{3t}=\cfrac{}{{\color{blue}{ lcd?}}}\)

Answer 12

Would it be 2?

Answer 13

well.... the lcd will be a expression that can be divided by 5t
and also can be divided at the same time by 3t

Answer 14

...15?

Answer 15

well... yes.... sorta 15t really, notice the "t" in each term

so one sec

Answer 16

okay!

Answer 17

\(\large { \bf \cfrac{
\frac{2}{5t}-\frac{3}{3t}
}{
\frac{1}{2t}+\frac{1}{2t}
}\implies \cfrac{
\frac{3\cdot 2-5\cdot3 }{15t}
}{
\frac{1+1}{2t}
}\implies \cfrac{
\frac{6-15}{15t}
}{
\frac{\cancel{ 2 }}{\cancel{ 2 }t}
}
\\ \quad \\
\cfrac{
\frac{\cancel{ 9 }}{\cancel{ 15 }t}
}{
\frac{1}{t}
}\implies \cfrac{
\frac{3}{5t}
}{
\frac{1}{t}
}\qquad recall\implies {\color{brown}{ \cfrac{\quad \frac{a}{b}\quad }{\frac{c}{d}}\implies \cfrac{a}{b}\cdot \cfrac{d}{c}}}\qquad thus
\\ \quad \\
\cfrac{
\frac{3}{5t}
}{
\frac{1}{t}
}\implies \cfrac{3}{5t}\cdot \cfrac{t}{1}
}\)

Answer 18

then just multiply them and simplify, hint: you can cancel out the "t"s

Answer 19

would it end up being -3/5?