Multiply two mixed numbers

Learning Objectives Define mixed numbers and improper fractions. Convert mixed numbers into improper fractions. Multiply two improper fractions. Convert an improper fraction product back into a mixed number. Simplify fraction products to their lowest terms. Solve word problems involving the multiplication of two mixed numbers. Ever wondered how to figure out the total amount of ingredients needed if a recipe calls for 2½ cups of flour and you want to make 1½ times the recipe? 🥧 Let's find out! In this lesson, you'll learn a powerful way to multiply numbers that have both a whole part and a fraction part, called mixed numbers. This skill is super useful for cooking, building, and many everyday situations where things aren't always whole numbers. Real-World A...

TermDefinitionExample Mixed NumberA number that combines a whole number and a fraction.3½ (three and a half), 1¾ (one and three-quarters) Improper FractionA fraction where the numerator (top number) is greater than or equal to the denominator (bottom number).⁷⁄₂ (seven halves), ⁵⁄₄ (five quarters) NumeratorThe top number in a fraction, which tells you how many parts of the whole you have.In the fraction ⁵⁄₈, 5 is the numerator. DenominatorThe bottom number in a fraction, which tells you how many equal parts the whole is divided into.In the fraction ⁵⁄₈, 8 is the denominator. ProductThe answer you get when you multiply two or more numbers.The product of 2 and 3 is 6. Simplify (Reduce)To make a fraction as simple as possible by dividing both the numerator and the denominator by their greate...

Converting a Mixed Number to an Improper Fraction $A \frac{B}{C} = \frac{(A \times C) + B}{C}$ To multiply mixed numbers, you must first convert each mixed number into an improper fraction. Multiply the whole number by the denominator, then add the numerator. Keep the original denominator. Multiplying Fractions $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$ Once both mixed numbers are improper fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Converting an Improper Fraction to a Mixed Number $\frac{\text{Numerator}}{\text{Denominator}} = \text{Quotient} \frac{\text{Remainder}}{\text{Denominator}}$ After multiplying, if your answer is an improper fraction, divide t...