Question

1. $\frac{6}{7}$ of a rectangle is colored red. timothy cuts this red part into a number of pieces so that each piece is $\frac{2}{7}$ of the whole rectangle. how many red pieces does timothy have?

Explanation:

Step1: Identify the operation

We need to divide the fraction of the red - part by the fraction of each piece.
Let the fraction of the red - part of the rectangle be $a=\frac{6}{7}$ and the fraction of each piece be $b = \frac{2}{7}$. The number of pieces $n$ is given by $n=\frac{a}{b}$.

Step2: Perform the division of fractions

When dividing fractions $\frac{a}{b}=\frac{\frac{6}{7}}{\frac{2}{7}}=\frac{6}{7}\times\frac{7}{2}$.
The 7s cancel out, and $\frac{6\times7}{7\times2}=\frac{6}{2}=3$.

Answer:

3