Mathematics
Grade 7
15 min
Multiply three or more mixed numbers, fractions, and/or whole numbers
Multiply three or more mixed numbers, fractions, and/or whole numbers
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Convert mixed numbers and whole numbers into improper fractions.
Identify and apply the steps for multiplying three or more fractions.
Simplify products of fractions to their simplest form.
Use cross-simplification to make multiplication easier before multiplying.
Solve real-world problems involving the multiplication of three or more mixed numbers, fractions, and/or whole numbers.
Recognize and avoid common errors when multiplying multiple types of numbers.
Ever wondered how much flour you'd need if you tripled a recipe that calls for 1 1/2 cups, and then decided to make 2/3 of *that* amount? 🍰 Let's find out how to multiply multiple types of numbers!
In this lesson, you'll learn the essential steps to multiply three or more mixed number...
2
Key Concepts & Vocabulary
TermDefinitionExample
Mixed NumberA number consisting of a whole number and a proper fraction.$2 \frac{1}{3}$
Improper FractionA fraction where the numerator is greater than or equal to the denominator.$\frac{7}{3}$
Whole NumberA non-negative integer (0, 1, 2, 3...).$5$
NumeratorThe top number in a fraction, representing the number of parts being considered.In $\frac{3}{4}$, $3$ is the numerator.
DenominatorThe bottom number in a fraction, representing the total number of equal parts in the whole.In $\frac{3}{4}$, $4$ is the denominator.
ProductThe result obtained when two or more numbers are multiplied together.The product of $2$ and $3$ is $6$.
Simplest FormA fraction where the numerator and denominator have no common factors other than 1.$\frac{1}{2}$ is the simplest form of $\frac{2}{...
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Core Formulas
Converting Mixed Numbers to Improper Fractions
$A \frac{B}{C} = \frac{(A \times C) + B}{C}$
To multiply mixed numbers, first convert them into improper fractions. Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.
Converting Whole Numbers to Improper Fractions
$N = \frac{N}{1}$
To multiply whole numbers with fractions, express the whole number as a fraction with a denominator of 1.
Multiplying Fractions
$\frac{A}{B} \times \frac{C}{D} \times \frac{E}{F} = \frac{A \times C \times E}{B \times D \times F}$
Multiply all the numerators together to get the new numerator, and multiply all the denominators together to get the new denominator.
Simplifying Fractions (Cross-Simplification)
Before multiplyin...
5 more steps in this tutorial
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Sign Up Free to ContinueSample Practice Questions
Easy
How is the mixed number $3 \frac{2}{5}$ correctly converted into an improper fraction?
A.\frac{(3 \times 2) + 5}{5}
B.\frac{(3 \times 5) + 2}{5}
C.\frac{3 + 2}{5}
D.\frac{3 \times 2}{5}
Easy
What is the essential first step you should take when preparing to multiply $4 \times \frac{1}{3} \times 2 \frac{1}{5}$?
A.Multiply the whole numbers 4 and 2 first.
B.Find a common denominator for all numbers.
C.Convert all numbers into improper fractions.
D.Add the numbers together instead.
Easy
What is the product of $\frac{1}{2} \times \frac{1}{3} \times \frac{3}{4}$ in its simplest form?
A.\frac{1}{8}
B.\frac{3}{24}
C.\frac{5}{9}
D.\frac{3}{9}
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