Equivalent Ratios

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 1:2 and 2:4 are equivalent.

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number. For example, if you have the ratio 3:4, multiplying both terms by 2 gives you 6:8, which is equivalent.

Front

What is the ratio of 5 to 10?

Back

The ratio of 5 to 10 can be simplified to 1:2, which is an equivalent ratio.

Front

If a truck travels 275 miles in 5 hours, what is the rate per hour?

Back

The rate per hour is 55 miles per hour, calculated by dividing 275 miles by 5 hours.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

Front

How can you represent a ratio using a table?

Back

You can represent a ratio using a table by listing the quantities in columns. For example, a table showing the number of hours and miles traveled can help visualize the relationship.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you determine the best group rate from a chart?

Back

To determine the best group rate, compare the rates per person for each option and choose the one that is lowest while still meeting any necessary conditions.

Front

What is the ratio of walnuts to peanuts in a snack mixture of 5 walnuts, 4 hazelnuts, and 10 peanuts?

Back

The ratio of walnuts to peanuts is 5:10, which simplifies to 1:2.

Front

If it rained for 3 days and did not rain for 4 days, what is the ratio of rainy days to non-rainy days?

Back

The ratio of rainy days to non-rainy days is 3:4.