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: Understand the given ratio

The team won 3 matches for every $\frac{1}{2}$ match lost. We need the ratio of won to lost, so it's $3 : \frac{1}{2}$.

Step2: Simplify the ratio

To simplify a ratio with a fraction, we can multiply both parts by the reciprocal of the fraction's denominator (or multiply by 2 to eliminate the fraction). So, multiply both 3 and $\frac{1}{2}$ by 2:
$3\times2 : \frac{1}{2}\times2 = 6 : 1$

Answer:

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