Multiply two mixed numbers

Learning Objectives Convert mixed numbers into improper fractions as a preliminary step for multiplication. Accurately multiply two or more mixed numbers by applying the rules of fraction multiplication. Simplify the resulting improper fraction and convert it back into a mixed number. Calculate the volume of rectangular prisms and cubes with dimensions expressed as mixed numbers. Determine the surface area of cubes whose side lengths are given as mixed numbers. Apply mixed number multiplication to solve multi-step word problems involving three-dimensional figures. An architect is designing a custom bookshelf. If each shelf is a plank of wood measuring 4 ½ feet long by 1 ¼ feet wide, how can they calculate the total surface area to order the right amount of varnish? 📐 This...

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) Volume of a Rectangular PrismThe amount of three-dimensional space an object occupies, calculated by multiplying its length, width, and height.A box with length 3 in, width 2 in, and height 4 in has a volume of 3 × 2 × 4 = 24 cubic inches. Surface Area of a CubeThe total area of all the faces of a three-dimensional object. For a cube with side length 's', it is the area of one square face (s²) multiplied by the 6 faces.A cube with a side length of 2 cm has a surface area of 6 × (2 cm)² = 24 square cm. Simplifying FractionsT...

Conversion: Mixed Number to Improper Fraction a \frac{b}{c} = \frac{(a \times c) + b}{c} To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. This is the mandatory first step before multiplying mixed numbers. Multiplication of Fractions \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} After converting all mixed numbers to improper fractions, multiply the numerators together and the denominators together to get the product. Volume of a Rectangular Prism Formula V = l \times w \times h Use this formula to find the volume (V) of a rectangular prism by multiplying its length (l), width (w), and height (h). If these dimensions are mixed numbers,...