Answer:
[tex]\frac{13}{45}[/tex] or 0.2888... - in decimal form.
Explanation:
using PEDMAS rule:
[tex]\frac{4}{15} * ( \frac{1}{4} +\frac{5}{6} )[/tex] [ finish the addition in the brackets ]
[tex]\frac{4}{15} * ( \frac{6}{24} +\frac{20}{24} )[/tex] [ make the denominator same ]
[tex]\frac{4}{15} * ( \frac{6+20}{24} )[/tex] [ join the fraction as they now have same denominator ]
[tex]\frac{4}{15} * ( \frac{26}{24} )[/tex] [ after joining ]
[tex]\frac{4}{15} * ( \frac{13}{12} )[/tex] [ simplified ]
[tex]\frac{4 * 13}{15 * 3 * 4}[/tex] { 4 gets cut }
[tex]\frac{1*13}{15*3}[/tex] { basic multiplication }
[tex]\frac{13}{45}[/tex] [ final answer ]
