Question

complete the equation. hint: think about how we can fill in each rectangle below to help us find an equivalent fraction. \\(\frac{t}{3} = \frac{2}{6}\\) \\(t = \square\\) image of two rows of rectangles: top row has three rectangles labeled \\(\frac{1}{3}\\) each; bottom row has six rectangles labeled \\(\frac{1}{6}\\) each, with two of them (first and fourth) shaded purple

Explanation:

Step1: Cross - multiply

Cross - multiply the given equation \(\frac{t}{3}=\frac{2}{6}\), we get \(6t = 2\times3\).

Step2: Simplify the right - hand side

Simplify \(2\times3\) to get \(6t=6\).

Step3: Solve for \(t\)

Divide both sides of the equation \(6t = 6\) by \(6\), so \(t=\frac{6}{6}\).

Answer:

\(1\)