Mathematics
Grade 10
15 min
Multiply three or more mixed numbers, fractions, and/or whole numbers
Multiply three or more mixed numbers, fractions, and/or whole numbers
What you'll learn
- Convert mixed numbers to improper fractions with 100% accuracy in order to prepare them for multiplication.
- Solve multiplication problems involving three or more fractions, mixed numbers, and/or whole numbers with at least 80% accuracy on a worksheet.
- Simplify fractions in multiplication problems before multiplying with 90% accuracy.
- Explain the steps involved in multiplying three or more mixed numbers, fractions, and/or whole numbers in their own words.
- Determine if a solution to a multiplication problem involving three or more fractions, mixed numbers and/or whole numbers is reasonable, and justify their answer.
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Convert any mixed number or whole number into an improper fraction to prepare for multiplication.
Apply the rules of fraction multiplication to a sequence of three or more factors.
Simplify complex calculations by using cross-cancellation across multiple fractions before multiplying.
Calculate the volume of rectangular prisms and pyramids with fractional or mixed number dimensions.
Deconstruct and solve multi-step word problems involving the volume of 3D figures.
Justify the volume of a composite 3D figure by multiplying its fractional dimensions.
Express final volume answers with the correct cubic units.
How much sand would it take to build a sandcastle prism that is 2 ½ feet long, 1 ¼ feet wide, and ¾ of a foot high? 🏰 Let's find out!
This tuto...
2
Key Concepts & Vocabulary
TermDefinitionExample
Mixed NumberA number composed of a whole number and a proper fraction.4 ½ (four and one-half)
Improper FractionA fraction in which the numerator is greater than or equal to the denominator. All mixed numbers and whole numbers must be converted to this form for multiplication.4 ½ is converted to 9/2. The whole number 5 is converted to 5/1.
VolumeThe measure of the amount of three-dimensional space an object occupies. It is measured in cubic units.A cube with side length 2 cm has a volume of 2 cm * 2 cm * 2 cm = 8 cm³.
Base Area (B)The area of the base of a three-dimensional figure. This value is used in volume formulas for prisms and pyramids.For a rectangular prism with a base of 3 ft by 4 ft, the Base Area B is 12 ft².
Cross-CancellationA simplification technique us...
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Core Formulas
The Universal Conversion Rule
a \frac{b}{c} = \frac{(a \times c) + b}{c} \quad \text{and} \quad n = \frac{n}{1}
Before multiplying, all numbers in the expression must be converted into improper fractions. This creates a uniform format of numerators and denominators, which is essential for the multiplication process.
Volume of a Rectangular Prism
V = l \times w \times h
The volume (V) of a rectangular prism is found by multiplying its length (l), width (w), and height (h). This is a direct application of multiplying three numbers.
Volume of a Pyramid
V = \frac{1}{3} \times B \times h
The volume (V) of a pyramid is one-third of the product of its base area (B) and its height (h). If the base is a rectangle, B = l × w, making the formula V = (1/3) * l * w * h, a product...
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Sign Up Free to ContinueSample Practice Questions
Easy
According to the Universal Conversion Rule, how is the mixed number 5 ⅔ correctly converted into an improper fraction?
A.(5 × 2) + 3, all over 3
B.(5 + 3), all over 2
C.(5 × 3) + 2, all over 3
D.5 divided by (2/3)
Easy
To calculate the volume of a box with a length of 4 inches, a width of ½ inch, and a height of ¾ inch, what is the required first step for the whole number dimension '4'?
A.Convert it to the fraction 4/1
B.Multiply it by the numerators
C.Add it to the other fractions
D.Ignore it until the end of the calculation
Easy
Which is the correct formula for calculating the volume (V) of a rectangular prism with length (l), width (w), and height (h)?
A.V = l + w + h
B.V = Base Area + h
C.V = ⅓ × l × w × h
D.V = l × w × h
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Frequently asked questions
What grade level is "Multiply three or more mixed numbers, fractions, and/or whole numbers"?
Multiply three or more mixed numbers, fractions, and/or whole numbers is a Grade 10 Mathematics lesson on ExcelOS.
What will I learn in Multiply three or more mixed numbers, fractions, and/or whole numbers?
You'll be able to: Convert mixed numbers to improper fractions with 100% accuracy in order to prepare them for multiplication; Solve multiplication problems involving three or more fractions, mixed numbers, and/or whole numbers with at least 80%….
Is "Multiply three or more mixed numbers, fractions, and/or whole numbers" free to practice?
Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.
How many practice questions are included with Multiply three or more mixed numbers, fractions, and/or whole numbers?
This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.