Ratios and Rates Review!!!

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 3:4), as a fraction (e.g., 3/4), or with the word 'to' (e.g., 3 to 4).

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common factor (GCF).

Front

What is the GCF of 56 and 64?

Back

The GCF of 56 and 64 is 8.

Front

How do you simplify the ratio 56:64?

Back

Divide both numbers by their GCF, which is 8. So, 56 ÷ 8 = 7 and 64 ÷ 8 = 8, resulting in the simplified ratio 7:8.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

Front

How do you find the unit rate of 180 hours in 3 hours?

Back

Divide 180 by 3 to find the unit rate: 180 ÷ 3 = 60. So, the unit rate is 60 hours per hour.

Front

If Alice drives 250 miles in 5 hours, what is her unit rate?

Back

To find the unit rate, divide 250 miles by 5 hours: 250 ÷ 5 = 50 miles per hour.

Front

What is the unit rate for 1 hour if Alice drives 250 miles in 5 hours?

Back

The unit rate is 50 miles per hour, which means Alice drives 50 miles in 1 hour.

Front

What is the relationship between ratios and rates?

Back

Ratios compare two quantities, while rates are a specific type of ratio that compares quantities with different units (e.g., speed is a rate comparing distance and time).