Respuesta :
a) Let x be the hours that Vernonr practice on the weekend. Then, an equation to represent this situationis:
[tex]4\frac{1}{3}+x=5\frac{3}{4}[/tex]b)Notice that the denominators of 5 3/4 and 4 1/3 are 4 and 3 respectively, then the least common denominator is:
[tex]4\cdot3=12[/tex]the LCM of 4 and 3 is 12
c)First let's convert both mixed fractions into improper fractions:
[tex]\begin{gathered} 5\frac{3}{4}=\frac{5\cdot4+3}{4}=\frac{20+3}{4}=\frac{23}{4} \\ 4\frac{1}{3}=\frac{4\cdot3+1}{3}=\frac{12+1}{3}=\frac{13}{3} \end{gathered}[/tex]using these improper fractions on the equation from a), we get:
[tex]\begin{gathered} \frac{13}{3}+x=\frac{23}{4} \\ \Rightarrow x=\frac{23}{4}-\frac{13}{3}=\frac{69-52}{12}=\frac{17}{12}=1\frac{5}{12} \\ x=1\frac{5}{12} \end{gathered}[/tex]Therefore, Vernon practiced 1 5/12 hours on the weekend
