Answer:
[tex]\frac{3}{4}[/tex] of Diana's clothes are black or white
Step-by-step explanation:
In order to find the total amount of Diana's clothes that are black or white, you need to add the fractional amount of clothes that are white (1/6) and the fractional amount that are black (7/12). But, when you add fractions they need to have the same denominator, so you need to find the least common multiple of both denominators, in this case '12':
[tex]\frac{1}{6}=\frac{2}{12}[/tex]
So, [tex]\frac{2}{12}+\frac{7}{12}=\frac{9}{12}[/tex]
Now, simplify: [tex]\frac{9}{12}=\frac{3}{4}[/tex]