Question

"Write another ratio that is equivalent to the ratio 4:6. How do you know that your new ratio is equivalent to 4:6? Explain or show your reasoning."

Answer 1

A ratio equivalent to 4:6 is 2:3. We can confirm the equivalence by dividing 4 and 6 by 2 to obtain 2:3, or through the method of cross-multiplication, which further validates the equivalence of these two ratios.

Step-by-step explanation:

The ratio equivalent to 4:6 could be 2:3. We know this ratio is equivalent because ratios represent the same relationship between numbers. When you divide or multiply all parts of the ratio by the same number, in this case dividing 4 and 6 by 2, the relationship does not change - hence, the ratios are equivalent. You can always check your work by cross-multiplying. For the ratios 4:6 and 2:3, cross multiplication gives us 4 * 3 = 12 and 2 * 6 = 12, further confirming the equivalence of these two ratios.

Learn more about Equivalent Ratios