Ratios and Percents Review

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. For example, the ratio of 2 to 3 can be written as 2:3.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers. This can be checked by cross-multiplying the two ratios.

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100.

Front

How do you convert a fraction to a percent?

Back

Front

What is the formula to calculate the percentage of a part compared to a whole?

Back

Front

How do you calculate a tip based on a percentage?

Back

To calculate a tip, multiply the total bill amount by the tip percentage (as a decimal). For example, for a $25 bill with a 20% tip: $25 × 0.20 = $5.

Front

What is the relationship between ratios and proportions?

Back

Front

How do you find the unit rate?

Back

Front

What is the process to solve a ratio problem?

Back

To solve a ratio problem, identify the quantities being compared, set up a proportion if necessary, and solve for the unknown quantity.

Front

How do you scale a ratio?

Back

To scale a ratio, multiply or divide both terms of the ratio by the same number. For example, scaling the ratio 2:3 by 2 gives 4:6.