Multiply a mixed number by a whole number

Learning Objectives Define mixed numbers and whole numbers. Convert mixed numbers to improper fractions. Multiply an improper fraction by a whole number. Convert improper fractions back to mixed numbers. Simplify fraction answers to their simplest form. Apply the distributive property to multiply mixed numbers by whole numbers. Solve word problems involving the multiplication of mixed numbers by whole numbers. Imagine you're baking cookies and each batch needs 2½ cups of flour. If you want to make 3 batches, how much flour do you need? 🍪 In this lesson, you'll learn how to multiply a mixed number by a whole number. This skill is super useful for everyday situations like cooking, building, or even sharing snacks fairly, helping you solve problems accurately and...

TermDefinitionExample Mixed NumberA number consisting of a whole number and a proper fraction.$3\frac{1}{2}$ (three and one-half) Whole NumberA number without fractions or decimals, and it is not negative. It includes 0, 1, 2, 3, and so on.4, 7, 10 Improper FractionA fraction where the numerator (top number) is greater than or equal to the denominator (bottom number).$\frac{7}{2}$ (seven halves) Proper FractionA fraction where the numerator is less than the denominator.$\frac{1}{2}$ (one-half) NumeratorThe top number in a fraction, which tells you how many parts of the whole you have.In $\frac{3}{4}$, the numerator is 3. DenominatorThe bottom number in a fraction, which tells you the total number of equal parts the whole is divided into.In $\frac{3}{4}$, the denominator is 4. Simplest For...

Convert Mixed Number to Improper Fraction $A\frac{B}{C} = \frac{(A \times C) + B}{C}$ To multiply a mixed number by a whole number, it's often easiest to first change the mixed number into an improper fraction. Multiply the whole number part (A) by the denominator (C), then add the numerator (B). Keep the original denominator (C). Multiply a Fraction by a Whole Number $\frac{A}{B} \times C = \frac{A \times C}{B}$ To multiply a fraction by a whole number, multiply the numerator (A) of the fraction by the whole number (C). The denominator (B) stays the same. Remember, you can think of the whole number C as a fraction $\frac{C}{1}$. Convert Improper Fraction to Mixed Number $\frac{A}{B} = Q\frac{R}{B}$ (where Q is the quotient and R is the remainder when A is divided...