Introduction to Ratios with Math with Mr. J

Flashcards covering key concepts of ratios from Math with Mr. J, including ratio notation, part-to-part vs. part-to-whole ratios, simplifying ratios, and example problems.

Why does order matter when writing a ratio?

Whatever comes first in your problem needs to come first in your ratio.

What are the three different formats used to write a ratio?

Using the word "to" (such as $4\text{ to }2$), using a colon (such as $4:2$), and using a fraction (such as $\frac{4}{2}$).

When writing a ratio as a fraction, how are the terms placed?

Whatever comes first is your numerator (the top number), and whatever comes second is your denominator.

How do you simplify a ratio such as $4\text{ to }2$?

Find the greatest common factor between the terms and divide both by it (dividing both $4$ and $2$ by $2$ results in $2\text{ to }1$).

In the fruit problem, why is comparing strawberries to oranges considered a part-to-part ratio?

Because strawberries are a part of the group and they are being compared to oranges, which are another part of the group.

What is a part-to-whole ratio according to the lesson?

A ratio where a part of the group (such as oranges) is compared to the whole group (such as the total amount of fruit).

In the fruit example, what is the simplified ratio of oranges to the total amount of fruit?

$1\text{ to }3$ (or $1:3$, or $\frac{1}{3}$), simplified from $2$ oranges to $6$ total pieces of fruit by dividing both by $2$.

In problem number two, how many of each video game type does Moe have?

Moe has $7$ sports video games, $3$ racing video games, and $8$ action video games.

What is the ratio of sports games to racing games for Moe's collection?

$7:3$ (or $7\text{ to }3$, or $\frac{7}{3}$), which is already in simplest form.

What is the ratio of action games to racing games for Moe's collection?

$8:3$ (or $8\text{ to }3$, or $\frac{8}{3}$), which is already in simplest form.