Question

a football team won 3 matches for every \\(\frac{1}{2}\\) match they lost. what is the ratio of matches won to matches lost?

Explanation:

Step1: Identify the given ratio components

The team won 3 matches for every $\frac{1}{2}$ match lost. So the number of won matches ($W$) is 3, and the number of lost matches ($L$) is $\frac{1}{2}$.

Step2: Calculate the ratio of won to lost

The ratio of matches won to lost is $W:L = 3:\frac{1}{2}$. To simplify this ratio, we multiply both parts by 2 to eliminate the fraction. So, $3\times2:\frac{1}{2}\times2 = 6:1$.

Answer:

The ratio of matches won to matches lost is $6:1$.