Ontario Tech acknowledges the lands and people of the Mississaugas of Scugog Island First Nation.

We are thankful to be welcome on these lands in friendship. The lands we are situated on are covered by the Williams Treaties and are the traditional territory of the Mississaugas, a branch of the greater Anishinaabeg Nation, including Algonquin, Ojibway, Odawa and Pottawatomi. These lands remain home to many Indigenous nations and peoples.

We acknowledge this land out of respect for the Indigenous nations who have cared for Turtle Island, also called North America, from before the arrival of settler peoples until this day. Most importantly, we acknowledge that the history of these lands has been tainted by poor treatment and a lack of friendship with the First Nations who call them home.

This history is something we are all affected by because we are all treaty people in Canada. We all have a shared history to reflect on, and each of us is affected by this history in different ways. Our past defines our present, but if we move forward as friends and allies, then it does not have to define our future.

# Multiplying and Dividing Fractions

## Multiplying Fractions

When multiplying and dividing fractions, it is easiest to work with proper or improper fractions. If the fraction is mixed, simply convert it to an improper fraction before you start. There are three simple steps to multiplying fractions.

• Step 1: Multiply the numerators.
• Step 2: Multiply the denominators
• Step 3: Simplify the fraction (if needed).

Example: $$\frac{3}{4}$$x$$\frac{2}{5}$$

Solution:

$$\frac{3}{4}$$x$$\frac{2}{5} = \frac{3\cdot2}{4\cdot5}=\frac{6}{20}$$

Now, simplify the fraction:

$$\frac{6}{20} = \frac{3}{10}$$

## Dividing Fractions

There are 3 simple steps to dividing fractions:

• Step 1: Turn the second fraction (the one you want to divide by) upside-down (this is now a reciprocal).
• Step 2: Multiply the first fraction by that reciprocal.
• Step 3: Simplify the fraction (if needed)

Example: $$\frac{2}{8} \div 3\frac{2}{5}$$

Solution:

First convert the mixed fraction into an improper fraction: $$3 \frac{2}{5} = \frac{5\cdot3+2}{5} = \frac{17}{5}$$

Now, turn the second fraction ($$\frac{17}{5}$$) upside-down: $$\frac{5}{17}$$

Multiply the first fraction by the reciprical: $$\frac{2}{8}$$x$$\frac{5}{17} = \frac{2\cdot5}{8\cdot17} = \frac{10}{136}$$

Simplify the fraction: $$\frac{10}{136}= \frac{5}{68}$$