Question

complete the equation.
hint: think about how we can fill in each rectangle below to help us find an
equivalent fraction.
\\(\frac{3}{5} = \frac{w}{10}\\)
\\(w = \square\\)
image of two rows of rectangles: top row has five \\(\frac{1}{5}\\) rectangles (three blue, two white), bottom row has ten \\(\frac{1}{10}\\) rectangles

Explanation:

Step1: Analyze the denominator change

The denominator changes from \(5\) to \(10\). The factor of change is \(10\div5 = 2\).

Step2: Apply the same factor to the numerator

Since the fractions are equivalent, multiply the numerator \(3\) by the factor \(2\). So \(w=3\times2\).

Answer:

\(6\)