Lesson 5: Fractional Parts

New Concept

Math helps us understand the world by breaking it into manageable parts. This course builds your foundation by mastering core concepts one step at a time.

What’s next

Our journey begins with a key building block: fractional parts. Next, you'll dive into worked examples showing how to calculate and compare fractions in real-world scenarios.

Property

To find a fractional part of a group, divide the total by the denominator and multiply the result by the numerator.

Examples

To find $\frac{3}{4}$ of 32 ounces: $32 \div 4 = 8$, then $8 \times 3 = 24$ ounces.
Find $\frac{2}{5}$ of 30 questions: $30 \div 5 = 6$, then $6 \times 2 = 12$ questions.

Explanation

Imagine a pizza! The denominator tells you how many equal slices to cut, while the numerator is how many delicious slices you get to eat. This method quickly finds your fair share of anything!

Property

When comparing fractions with the same numerator, the one with the smaller denominator is the larger fraction. Fewer slices mean bigger pieces!

Examples

Comparing $\frac{2}{3}$ and $\frac{2}{5}$: Since $3 < 5$, the fraction $\frac{2}{3}$ is greater.
Arranging from least to greatest: $\frac{3}{12}, \frac{3}{10}, \frac{3}{8}, \frac{3}{4}$.

Explanation

Imagine getting one slice of a pizza cut into 3 pieces ($\frac{1}{3}$) versus one slice of a pizza cut into 8 pieces ($\frac{1}{8}$). You'd get more pizza from the first one!