Understanding Ratios and Proportions

What is a ratio?

• A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

• A ratio is a mathematical operation that adds two numbers together.

• A ratio is a way to express a single quantity as a fraction of another.

• A ratio is a method of calculating the average of a set of numbers.

How do you convert a decimal to a percent?

• Multiply the decimal by 100 and add a percent sign.

• Divide the decimal by 100 and add a percent sign.

• Add 100 to the decimal and remove the decimal point.

• Multiply the decimal by 10 and add a percent sign.

What is a proportion?

• A proportion is a type of fraction that represents a part of a whole.

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

• A proportion is a mathematical operation involving addition and subtraction.

• A proportion is a graphical representation of data.

What is a percent?

• A way of expressing a number as a fraction of 100.

• A method to calculate interest rates.

• A unit of measurement for weight.

• A type of currency exchange rate.

How do you find 10% of a number?

• Multiply the number by 0.1

• Divide the number by 10

• Add 10 to the number

• Subtract 10 from the number

What is the formula to find the original price after a discount?

• Original Price = Sale Price ÷ (1 - Discount Rate)

• Original Price = Sale Price × (1 + Discount Rate)

• Original Price = Sale Price + Discount Amount

• Original Price = Sale Price - Discount Amount

How do you check if two ratios are equivalent?

• By adding the two ratios together and simplifying.

• By cross-multiplying and checking if the products are equal.

• By finding the least common multiple of the denominators.

• By converting the ratios to percentages and comparing them.

How do you convert a fraction to a decimal?

• Multiply the numerator by the denominator.

• Divide the numerator by the denominator.

• Add the numerator and denominator together.

• Subtract the denominator from the numerator.

How do you find the percent increase or decrease?

• Percent Change = (New Value - Old Value) ÷ Old Value x 100.

• Percent Change = (Old Value - New Value) ÷ New Value x 100.

• Percent Change = (New Value + Old Value) ÷ Old Value x 100.

• Percent Change = (New Value - Old Value) ÷ (New Value + Old Value) x 100.

What is the relationship between ratios and fractions?

• Ratios can be expressed as fractions, for example, the ratio 2:3 can be written as the fraction @@\frac{2}{3}@@.

• Ratios and fractions are completely unrelated concepts.

• Fractions can only be expressed as ratios when they are whole numbers.

• Ratios are always larger than fractions.