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 by division, 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 to find the least expensive?

Back

Calculate the cost per unit (e.g., per pound) for each product and compare these values.

Front

What is the meaning of 'per pound' in pricing?

Back

'Per pound' means the cost of one pound of a product, allowing for comparison of prices based on weight.

Front

If ham costs $14.50 for 1.75 pounds, what is the cost per pound?

Back

Cost per pound = Total cost / Total weight = $14.50 / 1.75 = $8.29 per pound.

Front

What is the significance of understanding ratios and rates in real life?

Back

Understanding ratios and rates helps in making informed decisions about pricing, speed, and other comparisons in everyday situations.

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.