Question

are the ratios 5:6 and 2:4 equivalent? yes no submit

Explanation:

Step1: Simplify the first ratio

The ratio \(5:6\) can be written as a fraction \(\frac{5}{6}\). This fraction is already in its simplest form since 5 and 6 have no common factors other than 1.

Step2: Simplify the second ratio

The ratio \(2:4\) can be written as a fraction \(\frac{2}{4}\). We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, \(\frac{2\div2}{4\div2}=\frac{1}{2}\).

Step3: Compare the two simplified fractions

We have \(\frac{5}{6}\) and \(\frac{1}{2}\). To compare them, we can find a common denominator. The common denominator of 6 and 2 is 6. So, \(\frac{1}{2}=\frac{1\times3}{2\times3}=\frac{3}{6}\). Now, we can see that \(\frac{5}{6}
eq\frac{3}{6}\), which means \(\frac{5}{6}
eq\frac{1}{2}\). So the ratios \(5:6\) and \(2:4\) are not equivalent.

Answer:

no