Answer:
[tex]\frac{35}{48}[/tex]
Step-by-step explanation:
Put the value of r in the equation.
[tex]\frac{1}{4}[/tex] × r + [tex]\frac{7}{12}[/tex] = [tex]\frac{1}{4}[/tex] × [tex]\frac{7}{12}[/tex] + [tex]\frac{7}{12}[/tex]
Evaluate.
[tex]\frac{1}{4}[/tex] × [tex]\frac{7}{12}[/tex] + [tex]\frac{7}{12}[/tex] = [tex]\frac{7}{48}[/tex] + [tex]\frac{7}{12}[/tex]
Make them have the same denominator by multiplying the denominator of the second fraction by 4 so their denominators are 48.
[tex]\frac{7}{48}[/tex] + [tex]\frac{7}{12}[/tex] = [tex]\frac{7}{48}[/tex] + [tex]\frac{28}{48}[/tex]
Evaluate.
[tex]\frac{7}{48}[/tex] + [tex]\frac{28}{48}[/tex] = [tex]\frac{35}{48}[/tex]
