Ratio

Question 1

How do you simplify a ratio?

Answer 1

Divide all parts of a ratio by their greatest common factor

or

Divide all parts of a ratio by the same number, until they can’t be divided any further

Question 2

Do all ratios have two parts?

Answer 2

No, they can have two, three, or even more parts

Question 3

If the parts of a ratio have different units, what step should you take before solving?

Answer 3

Convert them so they are both in the same unit (the smaller unit is usually better)

Question 4

Ratios can be “part-to-part” or “part-to-whole”. Which one is the same as a fraction?

Answer 4

Part to whole

The part is the numerator and the whole is the denominator

Question 5

A ratio compares two ____

Answer 5

quantities (the amount of something - how many or how much)

Question 6

A special type of ratio where the quantities are different units is called a ____

eg. kilometers per hour, grams per liter, calories per serving

Answer 6

Rate

eg. speed, tax rate, heart rate, literacy rate, birth rate, exchange rate, frequency, density

Question 7

If you have a ratio with decimals, what step should you take before simplifying?

Answer 7

Remove the decimals by multiplying all quantities by 10, 100, 1000, etc. (these are called powers of 10)

Then simplify

Question 8

If you have a ratio with fractions, what step should you take before simplifying?

Answer 8

Change the fractions so that they have a common denominator, then change them into whole numbers by multiplying all parts by the denominator

Question 9

If you need to simplify a ratio but the numbers are large and you don’t know the greatest common factor, what can you do?

Answer 9

Divide it in smaller steps until you find the simplest form

Question 10

Different ratios that become the same when simplified are called ____

Answer 10

Equivalent ratios