What is the result when you multiply two fractions?
To multiply fractions, multiply the numerators together and multiply the denominators together. To divide fractions, invert the second fraction (flip it upside down) and then multiply the two fractions together. Remember to simplify your answer if possible!
Multiplying and Dividing Fractions
When multiplying fractions, remember to 'flip and multiply' – this means you must flip the second fraction and then multiply across both fractions. A fraction is a part of a whole. When dividing fractions, you must divide the numerators and denominators. One way to check your answer to a fraction problem is to multiply the fractions and then simplify the answer. The answer should be the same as the original problem.
Did you know?
Work together in pairs: What strategies can you use to multiply and divide fractions?
How can you explain the relationship between multiplication and division of fractions? Can you provide an example?
Work together in pairs: What is the result when you divide a fraction by its reciprocal?
Brain break: Draw an octopus playing a guitar while wearing a cowboy hat.
What is the product of 3/4 and 5/8?
What is the quotient of 7/8 divided by 1/2?
What is the reciprocal of 1 and 1 / 5?
What is the result when you multiply a fraction by its reciprocal?
- The numerator becomes negative
Jim baked a cake, he used half a cup of sugar which was one quarter of what he had. How much sugar did Jim have originally?
- 2 cups
- 1.5 cups
- 0.75 cups