Multiplying fractions means finding a part of a part. You multiply the top numbers (numerators) together and the bottom numbers (denominators) together to find the product.
Remember: multiplying fractions makes a smaller number because you are finding a part of a part.
Follow these steps to multiply two fractions correctly and simplify your answer when possible.
Always check if your final fraction can be reduced to lowest terms by dividing both the numerator and denominator by their greatest common factor (GCF).
Word problems with fractions describe real-life situations where you find a part of a part, such as using part of a recipe or measuring a section of a garden.
Look for clue words like “of” or “part of” in the problem—these often mean you need to multiply fractions.
Sometimes, a word problem will include mixed numbers. Before multiplying, change each mixed number into an improper fraction.
Always simplify improper fractions and convert them back to mixed numbers when your answer is greater than one whole.
After solving a word problem, make sure your answer makes sense in the situation. A smaller result usually means you found a part of something.
Always reread the problem and check that your answer fits what the question asked. Use estimation to see if your answer seems reasonable.