Fractions are parts of a whole. When we multiply fractions by whole numbers, we are multiplying the fraction by each part of the whole. To solve this type of problem, it is important to use the correct order of operations.
Multiplying Fractions with Whole Numbers
fraction: A fraction is a part of a whole. whole number: A whole number is a number that can be expressed without a fractional component. order of operations: The order of operations is a set of rules used to determine the order in which calculations should be performed.
The ancient Egyptians invented fractions about 4,000 years ago! The symbol for division (/), was first used in England in 1557. In mathematics, there is no such thing as a 'smallest fraction'. Any number can be made smaller by adding more zeroes to the end!
Work together in pairs: If you had to multiply a fraction by a whole number, how would you do it and why did you choose that method?
Work together in pairs: If you were to multiply 3/4 by 5, what would the answer be and why?
What is the answer when 5/6 is multiplied by 4?
What is the answer when 2/3 is multiplied by 5?
What is the answer when 1/3 is multiplied by 6?
What is the answer when 4/9 is multiplied by 3? Write your answer as a mixed number.
What is the answer when 6/7 is multiplied by 8?