Multiply a mixed number by a fraction

Learning Objectives Convert any mixed number into its equivalent improper fraction to prepare for multiplication. Multiply a mixed number by a fraction by applying the conversion and multiplication algorithm. Simplify the resulting fraction to its lowest terms, including converting back to a mixed number if appropriate. Apply the skill of multiplying a mixed number by a fraction to solve for the volume of 3D figures like pyramids and cones. Calculate new dimensions of a 3D figure when scaling by a fractional factor. Interpret word problems involving 3D figures to determine when multiplication of a mixed number and a fraction is required. Prove the volume of a scaled object by applying fractional multiplication to its dimensions. How would you calculate the precise volume o...

TermDefinitionExample Mixed NumberA number consisting of a whole number and a proper fraction.4 ½ (four and one-half) Improper FractionA fraction in which the numerator (top number) is greater than or equal to the denominator (bottom number).9/2 (nine-halves) VolumeThe amount of three-dimensional space occupied by an object, measured in cubic units.The volume of a cube with side length 2 cm is 2³ = 8 cm³. PyramidA polyhedron formed by connecting a polygonal base and a point, called the apex. The volume formula often involves a fraction.A square pyramid has a square base and four triangular faces. Its volume is V = (1/3) * (base area) * height. ConeA three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the...

Conversion: Mixed Number to Improper Fraction a \frac{b}{c} = \frac{(a \times c) + b}{c} To prepare a mixed number for multiplication, convert it into an improper fraction. Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. Multiplication of Fractions \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} Once all numbers are in fraction form, multiply the numerators together and the denominators together. Simplify the result if possible. Volume of a Pyramid or Cone V = \frac{1}{3} B h The volume (V) of a pyramid or cone is one-third of the base area (B) times the height (h). This formula is a common context in Grade 10 for multiplying by the fraction ⅓.