use a rectangular bar or fraction to find the product 1/3 x 3/5
Answer (1)
To find the product of [tex]\frac{1}{3} \times \frac{3}{5}[/tex] using a rectangular bar model or fraction model, follow these steps:1. Draw a rectangle representing the whole (1).2. Divide the rectangle vertically into 3 equal parts because the denominator of the first fraction is 3.3. Shade 1 of those 3 parts to represent [tex]\frac{1}{3} $$.[/tex]4. Now divide the same rectangle horizontally into 5 equal parts because the denominator of the second fraction is 5.5. Shade 3 of those 5 horizontal parts.6. The overlapping shaded area will represent the product.7. Count the number of smaller overlapping parts: The rectangle is now divided into [tex]3 \times 5 = 15[/tex] smaller rectangles.8. The overlap covers [tex]1 \times 3 = 3[/tex] of these smaller parts.So, the product is [tex]\frac{3}{15}[/tex], which simplifies to [tex]\frac{1}{5}[/tex].In fraction multiplication terms: [tex]\begin{gathered}\begin{gathered}\frac{1}{3} \times \frac{3}{5} = \frac{1 \times 3}{3 \times 5} = \frac{3}{15} = \frac{1}{5}\end{gathered}\end{gathered}[/tex]
