Multiply across — top times top, bottom times bottom!
Multiplying fractions is actually simpler than adding them — no common denominator needed! Multiply the numerators together, then multiply the denominators together. You can also simplify before multiplying by canceling common factors.
What is ⅔ of ¾? This means ⅔ × ¾ = (2×3)/(3×4) = 6/12 = ½. You can also cancel: the 3s cancel first, giving 2/4 = ½.
Why is the product smaller?
Think of it as shading part of a rectangle that is already partly shaded.
Remember This!
Before multiplying, look for factors to cancel diagonally (across numerator and denominator of different fractions). This keeps numbers small and avoids simplifying at the end.
What is ¾ × ⅘?