Multiply two fractions

Learning Objectives Apply the rules of multiplying two fractions to calculate the volume of rectangular prisms with fractional side lengths. Determine the new dimensions of a 3D figure after it has been scaled by a fractional factor. Calculate the new volume of a 3D figure by multiplying its original volume by the cube of a fractional scale factor. Compute the surface area of a single face of a prism when its dimensions are fractions. Simplify fractional results in the context of geometric measurements to provide answers in their simplest form. Interpret a fractional volume as a portion of a larger 3D figure's total capacity. How much water is in a rectangular aquarium that measures 3/4 meter long, 1/2 meter wide, and is filled to 2/3 of its height? 💧 Let's find o...

TermDefinitionExample VolumeThe amount of three-dimensional space occupied by an object, often measured in cubic units (e.g., cm³, m³, in³).A box with side lengths 2 cm, 3 cm, and 4 cm has a volume of 2 * 3 * 4 = 24 cm³. Rectangular PrismA three-dimensional solid shape which has six faces that are all rectangles.A standard cardboard box, a book, or a brick. Scale FactorA number which scales, or multiplies, some quantity. In geometry, it is the ratio of corresponding side lengths of two similar figures.If a model car is built with a scale factor of 1/24, every dimension on the model is 1/24th of the actual car's dimension. NumeratorThe top number in a fraction, which shows how many parts of the whole are being considered.In the fraction 3/5, the numerator is 3. DenominatorThe bottom n...

Multiplication of Two Fractions \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} To multiply two fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Always simplify the resulting fraction if possible. 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 rule applies even when the dimensions are fractional values. Volume Scaling Principle V_{new} = V_{original} \times (k)^3 When a 3D figure is scaled by a factor of 'k', its new volume is the original volume multiplied by the cube of the scale factor. If k is a fraction (e.g., 1/2), this involves multip...