Multiply fractions by whole numbers: word problems

Learning Objectives Identify the key information and operation needed to solve word problems involving multiplying fractions by whole numbers. Translate real-world word problems into mathematical expressions for multiplying fractions by whole numbers. Accurately multiply a fraction by a whole number. Simplify fraction products to their simplest form or convert improper fractions to mixed numbers. Interpret the fractional product in the context of the original word problem. Solve multi-step word problems that include multiplying fractions by whole numbers. Ever wondered how much paint you'd need if you wanted to paint 3 walls, and each wall needed $\frac{1}{2}$ a can? 🎨 Let's find out how to solve these kinds of everyday math mysteries! In this lesson, you'll...

TermDefinitionExample FractionA number that represents a part of a whole. It is written as a numerator over a denominator (e.g., $\frac{1}{2}$).If you eat $\frac{1}{4}$ of a pizza, you've eaten one out of four equal slices. Whole NumberA counting number without any fractional or decimal parts (e.g., 0, 1, 2, 3...).The number of apples in a basket, like 5 apples, is a whole number. ProductThe result you get when you multiply two or more numbers together.In $3 \times 4 = 12$, the number 12 is the product. Word ProblemA math problem presented in a story format, requiring you to read and understand the situation to find the solution.If John has 2 apples and Mary gives him 3 more, how many apples does John have now? (This is a word problem.) NumeratorThe top number in a fraction, which te...

Converting a Whole Number to a Fraction $c = \frac{c}{1}$ To multiply a whole number by a fraction, it's often helpful to first write the whole number as a fraction by placing it over 1. This doesn't change its value. Multiplying a Fraction by a Whole Number $\frac{a}{b} \times c = \frac{a}{b} \times \frac{c}{1} = \frac{a \times c}{b \times 1} = \frac{a \times c}{b}$ Multiply the numerator of the fraction by the whole number, and keep the denominator the same. Then, simplify the resulting fraction if possible. Simplifying Fractions Divide both the numerator and the denominator by their greatest common factor (GCF) until they share no common factors other than 1. After multiplying, always check if your answer can be simplified. This means finding the largest...