answer:
[tex]\frac{22}{15}[/tex] or 1 [tex]\frac{7}{15}[/tex]
step-by-step explanation:
a common denominator between 3 and 5 is 15
first to get our denominator in the fraction [tex]\frac{2}{3}[/tex] to 15 we need to multiply by 5 so 2 × 5 = 10 and 3 × 5 = 15
this makes our new fraction [tex]\frac{10}{15}[/tex]
now we need to get our denominator in the fraction [tex]\frac{4}{5}[/tex] to 15 so we need to multiply by 3 so 4 × 3 = 12 and 5 × 3 = 12
this makes our new fraction [tex]\frac{12}{15}[/tex]
our new equation with common denominators is now [tex]\frac{10}{15}[/tex] + [tex]\frac{12}{15}[/tex] = coming out to be [tex]\frac{22}{15}[/tex]
to make this into a mixed fraction we know 22 only goes into 15 once with 7 left over so our mixed fraction is 1 [tex]\frac{7}{15}[/tex]
