Divide. Express your answer in simplest form. 11/12 ÷ 3/4
Okay, so first we need to invert the second fraction and change the sign to multiplication. We come out with:
11/12 x 4/3 = 44/36
We can simplify 44/36 by dividing each side by 2 until we can't anymore. 44 divided by 2 is 22 and 36 divided by 2 is 18. Now the fraction is 22/18. 22 in half is 11 and 18 in half is 9. The most simplified answer would come out to be:
11/9
\(\frac{ \frac{11}{12} }{ \frac{3}{4} }\)
simpmlify the bottom number to make it =1/1 or something
to kep the fraction the same, multipliy the top and bottom by the same thing
to make 3/4=1/1, multiply by flip fration (4/3)
so
\(\frac{ \frac{11}{12} }{ \frac{3}{4} }\) times \(\frac{ \frac{4}{3} }{ \frac{4}{3} }\) =\(\frac{ \frac{44}{36} }{ \frac{12}{12} }\)=\(\frac{ \frac{44}{36} }{ 1 }\) = \(\frac{44}{36}\)=\(\frac{11}{9}\)