Solving Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division. It shows how many times one value contains or is contained within the other.

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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they simplify to the same fraction or if their cross products are equal.

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Back

Front

Solve the ratio: 4 to 10 and x to 50. What is x?

Back

x = 20.

Front

Back

x = 9.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How can you simplify the ratio 12:16?

Back

By dividing both terms by their greatest common divisor, which is 4, the simplified ratio is 3:4.

Front

What is an example of a real-world application of ratios?

Back

Ratios are used in recipes to compare the amount of ingredients, such as 2 cups of flour to 1 cup of sugar.

Front

What does it mean if two ratios are in direct proportion?

Back

If two ratios are in direct proportion, as one quantity increases, the other quantity increases at the same rate.