Good news — multiplying fractions is easier than adding them, because you don't need a common denominator! We'll show you how to multiply across, how to divide using "keep, change, flip," and let you practice both.
To add or subtract fractions, you first had to make the denominators match. Multiplying and dividing are different — you can jump straight in, no common denominator needed.
Multiply: go straight across — top times top, bottom times bottom.
Divide: keep the first fraction, change the sign to multiply, and flip the second fraction upside down.
Multiply the two numerators to get the new top number, and multiply the two denominators to get the new bottom number. That's it!
The word "of" is a great clue that you'll multiply. Finding 2/3 of 3/4 means the same thing as 2/3 × 3/4. Here's what that looks like:
6/12 has a common factor of 6, so 6/12 = 1/2. Always check whether your answer can be reduced to its smallest form.
A whole number is secretly a fraction — just put it over 1. Then multiply across like normal.
The answer 8/5 is an improper fraction (top bigger than bottom). You can leave it that way, or write it as the mixed number 1 and 3/5.
Dividing looks tricky, but there's a simple trick. To divide by a fraction, you multiply by its reciprocal — the same fraction flipped upside down.
Leave 1/2 exactly as it is.
Switch the division into multiplication.
Turn 3/4 upside down to make its reciprocal, 4/3.
Dividing by 3/4 asks "how many 3/4-sized pieces fit into 1/2?" Multiplying by the flipped fraction 4/3 gives the same answer — it undoes the split. The reciprocal is just the "opposite" of the fraction.
Work through each one, then check your answer. You can enter the answer straight across (like 6/12) or already simplified (like 1/2) — both count!
Multiply top × top and bottom × bottom, then fill in your answer.
First flip the second fraction to make its reciprocal, then multiply.