Question

I need to find the easiest way to learn how to divide fractions and mixed fractions. I also don't get how to simplify. 5 1/2 divided by 3/6

Answer 1

5 1/2 can be expressed as,

$5\text{ }\frac{1}{2}=\frac{5\times2+1}{2}=\frac{10+1}{2}=\frac{11}{2}$

If a fraction x/y is divided by a/b another fraction,

$\frac{\frac{x}{y}}{\frac{a}{b}}=\frac{x}{y}\times\frac{b}{a}$

So, 11/2 divided by 3/6 is

$\frac{\frac{11}{2}}{\frac{3}{6}}=\frac{11}{2}\times\frac{6}{3}=\frac{11}{2}\times2=11$

Therefore, 5 1/2 divided by 3/6 is 11.