A football team won $14 g a m e s,$ and lost $7 g a m e s$ and tied in $5 g a m e s$ Write the ratio of the following
Games won to the total number of matches played

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Solution

Step-1: Find the total number of matches played
$T o t a l n u m b e r o f m a t c h e s p l a y e d = N u m b e r o f g a m e s w o n + n u m b e r o f g a m e s l o s t + n u m b e r o f g a m e s t i e d T o t a l n u m b e r o f m a t c h e s p l a y e d = 14 + 7 + 5 T o t a l n u m b e r o f m a t c h e s p l a y e d = 26$
Step-2: Find $G a m e s w o n : T o t a l n u m b e r o f m a t c h e s p l a y e d$
$G a m e s w o n : T o t a l n u m b e r o f m a t c h e s p l a y e d$ $14 : 26$
Step-3: Simplify the ratio $14 : 26$
$14 : 26$ $=$ $\frac{14 \div 2}{26 \div 2}$ ( To simplify $14 : 26$ divide it by HCF of $14$ and $26$ The HCF of $14$ and $26$ is $2$ )
$14 : 26$ $=$ $\frac{7}{13}$ $=$ $7 : 13$
Hence, the ratio $G a m e s w o n : T o t a l n u m b e r o f m a t c h e s p l a y e d$ is $7 : 13$

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