I'm trying to understand fractions more by using a visual representation, and I having a hard time making a visual representation of the 1/6 of 4/5 and getting a visual understandable representation of the answer 4/30.
I'd appreciate If somebody could represent it for me.
Best Answer
Look at the following grid:
Suppose you want to take $\frac{1}{6}$ of it, then just take one of the rows, as shown in the following drawing:
Now, suppose we only want $\frac{4}{5}$ of that $\frac{1}{6}$. Then just take $4$ of the $5$ squares that make up that row:
At the end we ended up with $4$ squares, while the entire grid has a total of $30$. therefore $\frac{1}{6}\cdot\frac{4}{5}=\frac{4}{30}$