Scaling fractions by fractions

Learning Objectives Explain what it means to 'scale' a fraction. Multiply a fraction by another fraction. Determine if a fraction is scaled up or scaled down after multiplication. Simplify the product of two fractions to its simplest form. Solve real-world problems involving scaling fractions by fractions. Represent fraction multiplication visually using models. Have you ever needed to make a recipe smaller, like using half of a half cup of flour? 🥣 That's scaling! In this lesson, you'll learn how to multiply fractions by other fractions, which helps us understand how numbers grow or shrink when we 'scale' them. This skill is super useful for everyday situations! Real-World Applications Adjusting recipe ingredients to make a smaller or lar...

TermDefinitionExample FractionA number that represents a part of a whole or a part of a collection. It is written as a numerator over a denominator.$rac{3}{4}$ means 3 out of 4 equal parts. NumeratorThe top number in a fraction, which tells us how many parts we have.In $rac{2}{5}$, the numerator is 2. DenominatorThe bottom number in a fraction, which tells us how many equal parts the whole is divided into.In $rac{2}{5}$, the denominator is 5. ProductThe answer obtained when two or more numbers are multiplied together.The product of 3 and 4 is 12. The product of $rac{1}{2}$ and $rac{1}{3}$ is $rac{1}{6}$. ScalingChanging the size or amount of something by multiplying it by a factor. When multiplying by a fraction less than 1, the number gets smaller (scaled down). When multiplying by...

Rule for Multiplying Fractions To multiply two fractions, multiply the numerators together and multiply the denominators together. $rac{a}{b} \times rac{c}{d} = rac{a \times c}{b \times d}$ Use this rule when you need to find the product of two fractions. Always remember to simplify your answer if possible. Understanding 'Of' as Multiplication In word problems, the word 'of' often indicates multiplication, especially when dealing with fractions of a quantity. Example: 'What is $\frac{1}{2}$ of $\frac{1}{4}$?' means $\frac{1}{2} \times \frac{1}{4}$. This helps translate real-world scenarios into mathematical expressions for fraction multiplication. Scaling Effect of Fraction Multiplication If you multiply a number by a fraction less than...