Ping played three fourths of a football game. The game was three and a half hours long. How many hours did ping play the game?

Respuesta :

Answer:

[tex]2\frac{5}{8}\ hours[/tex]

Step-by-step explanation:

we know that

The game was three and a half hours long

so

[tex]3\frac{1}{2}\ hours[/tex]

Convert to an improper fraction

[tex]3\frac{1}{2}=\frac{3*2+1}{2}=\frac{7}{2}\ hours[/tex]

Multiply by 3/4

[tex](\frac{3}{4})\frac{7}{2}=\frac{21}{8}\ hours[/tex]

Convert to mixed number

[tex]\frac{21}{8}\ hours=\frac{16}{8}+\frac{5}{8}=2\frac{5}{8}\ hours[/tex]