Lesson 7: Fractional Side Lengths Greater Than 1

Property

To model the division $a \div b$, you can partition $a$ wholes into $b$ equal shares.
The size of each share is the fraction $\frac{a}{b}$.

Examples

Property

The phrase 'a fraction of a quantity' indicates multiplication. This can be written as:

Examples

Property

A tape diagram (or bar model) is a visual tool used to solve fraction word problems. A rectangle represents the 'whole' quantity, and it is partitioned into equal units based on the denominator of the fraction. By determining the value of one unit, we can find the value of any number of fractional parts.

Examples

Property

To model the multiplication of a whole number, $c$, and a unit fraction, $\frac{1}{b}$, you can find the area of a rectangle with side lengths of $c$ and $\frac{1}{b}$. The area of this rectangle represents the product.

Examples