Multiply three or more mixed numbers, fractions, and/or whole numbers

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...

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...

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...