Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if a store sees 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

What is the unit rate of $3.75 for 3 pounds of granola?

Back

The unit rate is $1.25 per pound, calculated by dividing $3.75 by 3.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is the ratio of 2 hours of watching TV to 8 hours of sleeping?

Back

The ratio is 2:8, which can be simplified to 1:4.

Front

What does it mean to solve for a variable in a ratio?

Back

Solving for a variable in a ratio means finding the value of that variable that makes the ratio true.

Front

If 4/7 = 7/x, how do you solve for x?

Back

Cross-multiply to get 4x = 49, then divide both sides by 4 to find x = 12.25.

Front

What is the significance of unit rates in real-life applications?

Back

Unit rates help compare different quantities and make informed decisions, such as determining the best price per item.

Front

How can ratios be used to compare different quantities?

Back

Ratios can be used to compare quantities by expressing them as a fraction or a relationship, allowing for easy comparison.

Front

What is the difference between a ratio and a fraction?

Back

A ratio compares two quantities, while a fraction represents a part of a whole.