Rebecca picked 1/6 of a basket of apples yesterday. Today, she picked 7/12 of a basket of apples. What part of a basket of apples has Rebecca picked in all?

Answer:
She has a basket [tex]\frac{3}{4}[/tex] full of apples.
Step-by-step explanation:
We need to add [tex]\frac{1}{6}[/tex] to [tex]\frac{7}{12}[/tex] to solve this. First, the fractions need to have the same denominator.
We can make [tex]\frac{1}{6}[/tex] have a denominator of 12 by multiplying it by [tex]\frac{2}{2}[/tex]. This does not actually change the value of the fraction because anything over itself is equal to 1.
[tex]\frac{1}{6}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{2}{12}[/tex]
Now we can add the fractions.
[tex]\frac{2}{12}[/tex] + [tex]\frac{7}{12}[/tex] = [tex]\frac{9}{12}[/tex]
Then we reduce the fraction.
[tex]\frac{9}{12}[/tex] = [tex]\frac{3}{4}[/tex]
She has a basket [tex]\frac{3}{4}[/tex] full of apples.