Comparing 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 simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

If Lynnette can wash 95 cars in 5 days, how do you find the number of cars she washes per day?

Back

Divide the total number of cars (95) by the number of days (5) to find the daily rate: 95 ÷ 5 = 19 cars per day.

Front

What is the formula to compare two ratios?

Back

To compare two ratios, you can cross-multiply and compare the products.

Front

In the ratio 3:5, if there are 30 tenants, how do you find the number of cars?

Back

Set up a proportion: 3/5 = 30/x, then cross-multiply and solve for x to find the number of cars.

Front

What does it mean for one deal to be better than another in terms of ratios?

Back

A better deal means a higher value per unit, which can be determined by comparing the ratios of value to time or quantity.

Front

How do you calculate the value per hour when babysitting?

Back

Divide the total earnings by the number of hours worked to find the hourly rate.

Front

What is the significance of equivalent ratios?

Back

Equivalent ratios represent the same relationship between numbers, even if the numbers themselves are different.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first term over the second term.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.