Proportions

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they express the same relationship, meaning their cross products are equal.

Front

What is cross multiplication?

Back

Cross multiplication is a method used to determine if two ratios are equivalent by multiplying the numerator of one ratio by the denominator of the other.

Front

How do you find a missing value in a proportion?

Back

To find a missing value in a proportion, set up the equation using cross multiplication and solve for the unknown.

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the quantity by the number of units, expressed as 'quantity per unit'.

Front

How can you determine if two fractions are equivalent?

Back

Two fractions are equivalent if their cross products are equal.

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

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first term by the sum of both terms and multiply by 100.

Front

What is a proportion?

Back

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