AI Tutor
Imagine you have half of a giant chocolate chip cookie, and you want to give a third of your piece to a friend. How much of the whole cookie does your friend get?
Finding a fraction of another fraction means we multiply them: 13×12\frac{1}{3} \times \frac{1}{2}.
What happens when our fractions have bigger numbers on top and bottom?

Multiplying Straight Across

To multiply fractions, multiply the top numbers (the numerators) together, and multiply the bottom numbers (the denominators) together.
For example, if you plant flowers in 23\frac{2}{3} of a garden bed and 34\frac{3}{4} of those flowers are roses, you multiply 23×34=2×33×4=612\frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12}, which simplifies to 12\frac{1}{2}.
Multiplying big numbers and then simplifying takes extra work. Can we make the numbers smaller before we even multiply?

The Cross-Canceling Shortcut

Cross-canceling means dividing a top number and a bottom number by their shared factor before multiplying.
In 23×34\frac{2}{3} \times \frac{3}{4}, the top 33 and bottom 33 divide by 33 to become 11. The top 22 and bottom 44 divide by 22 to become 11 and 22.
How do we use this trick to solve a real recipe problem with larger numbers?