Answer:
[tex]\frac{6}{11}[/tex] ÷ [tex]\frac{3}{5}[/tex] = [tex]\frac{10}{11}[/tex]
Step-by-step explanation:
Dividing fractions is actually easier than it seems because there's a trick.
You flip the divisor fraction (the one you are dividing BY) and then multiply instead of divide! The flipped divisor is called the reciprocal.
So, [tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex]. Which means [tex]\frac{5}{3}[/tex] is the reciprocal of [tex]\frac{3}{5}[/tex].
If you want to divide [tex]\frac{6}{11}[/tex] by [tex]\frac{3}{5}[/tex] , you simply multiply [tex]\frac{6}{11}[/tex] by the reciprocal of [tex]\frac{3}{5}[/tex] which is [tex]\frac{5}{3}[/tex].
[tex]\frac{6}{11}[/tex] × [tex]\frac{5}{3}[/tex] = [tex]\frac{30}{33}[/tex]
Now reduce and [tex]\frac{30}{33}[/tex] becomes [tex]\frac{10}{11}[/tex]
