Answer:
[tex]\frac{5}{9}[/tex]
Explanation:
1) Reduce the [tex]\frac{12}{15}[/tex] to [tex]\frac{4}{5}[/tex] by dividing with 3. (12/3 = 4 & 15/3 = 5)
[tex](\frac{5}{6})^{2}[/tex] × [tex]\frac{4}{5}[/tex]
2) Raise the numerator and denominator to the power.
5×5= 25 & 6×6=36
[tex]\frac{25}{36}[/tex] × [tex]\frac{4}{5}[/tex]
3) Reduce the numbers (25 & 5) with the greatest common factor 5
[tex]\frac{5}{36}[/tex] × [tex]\frac{4}{1}[/tex]
4) Multiply the fractions.
5×4= 20
36×1= 36
[tex]\frac{20}{36}[/tex]
5) Simplify.
20÷4 = 5
36÷4 = 9
[tex]\frac{5}{9}[/tex]
