Answer:
m = [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3}[/tex] + [tex]\frac{3m}{5}[/tex] = [tex]\frac{31}{15}[/tex]
Multiply through by 15 to clear the fractions
15 is the lowest common multiple of 3, 5 and 15
10 + 9m = 31 ( subtract 10 from both sides )
9m = 21 ( divide both sides by 9 )
m = [tex]\frac{21}{9}[/tex] = [tex]\frac{7}{3}[/tex]
