Ratio and Proportion

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to b' or a:b.

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other.

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc, where a, b, c, and d are the terms of the proportion.

Front

If the ratio of apples to bananas is 2:3, how many apples are there if there are 15 bananas?

Back

10 apples.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How can you express a ratio in simplest form?

Back

By dividing both terms of the ratio by their greatest common divisor.

Front

What is the relationship between ratios and fractions?

Back

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

Front

If a recipe calls for a ratio of 3:4 of sugar to flour, how much sugar is needed for 8 cups of flour?

Back

6 cups of sugar.

Front

What is the cross-multiplication method?

Back

A method used to solve proportions by multiplying the outer terms and the inner terms.