Question

Explain why the ratio 3 feet 1 yard has a value of one.

Answer 1

This ratio is using different measures (feet and yard), so the first step is converting yard to feet. The conversion rate is:

1 yard = 3 feet.

So we have that:

`\frac{3\text{ feet}}{1\text{ yard}}=\frac{3\text{ feet}}{3\text{ feet}}`

The numerator and denominator of the ratio are the same, so the ratio is equivalent to 1.

`\frac{3\text{ feet}}{3\text{ feet}}=1`