[tex]\frac{59}{42}[/tex] or [tex]1\frac{17}{42}[/tex]
Step-by-step explanation:
[tex]\frac{4}{7} + \frac{5}{6}[/tex] (These fractions are not like and we can't add them so we must convert them to like fractions by multiplying them to get a common denominator, the LCM of 7 and 6 is also their product which is 42, because these numbers are co-prime)
[tex]\frac{4*6}{7*6} = \frac{24}{42}, \frac{5*7}{6*7} = \frac{35}{42}[/tex] (We can add these now that they are like)
[tex]\frac{24 + 35}{42} = \frac{59}{42}[/tex] or [tex]1\frac{17}{42}[/tex]
