Grade 7 | Unit 4 | Lesson 2: Ratios and Rates With Fractions | Practice Problems

Front

What is a ratio?

Back

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

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or cost per pound.

Front

How do you calculate the cost per pound of a product?

Back

To find the cost per pound, divide the total cost by the total weight in pounds.

Front

If a cyclist rides 3.75 miles in 0.3 hours, how do you find their speed in miles per hour?

Back

Speed (in mph) = Distance (in miles) / Time (in hours). So, Speed = 3.75 miles / 0.3 hours = 12.5 mph.

Front

What is the formula to convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

How do you compare prices of different products based on their weight?

Back

Calculate the cost per pound for each product and compare those values.

Front

What is the least expensive option when comparing costs?

Back

The least expensive option is the one with the lowest cost per unit (e.g., per pound).

Front

How do you express a mixed number as an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

Front

What is the significance of units in rates?

Back

Units in rates provide context and meaning, allowing for accurate comparisons (e.g., miles per hour vs. kilometers per hour).

Front

How do you solve a problem involving ratios and rates?

Back

Identify the quantities involved, set up the ratio or rate, and use appropriate mathematical operations to find the solution.