Ratios and Proportions

Front

What is a ratio?

Back

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

Front

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 their cross products are equal.

Front

What is the cross product of the ratios a/b and c/d?

Back

The cross product is ad and bc; if ad = bc, then a/b = c/d.

Front

What does it mean for a ratio to be in simplest form?

Back

A ratio is in simplest form when the numerator and denominator have no common factors other than 1.

Front

How do you simplify the ratio 22:33?

Back

Divide both numbers by their greatest common divisor, which is 11, resulting in 2:3.

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

What is the formula to find an unknown in a proportion?

Back

If a/b = c/d, then the unknown can be found using the formula: n = (b * c) / a.

Front

How can you check if a proportion is correct?

Back

You can check a proportion by cross-multiplying and verifying if the products are equal.

Front

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

Back

Ratios are used in recipes to compare the amount of ingredients needed.