Understanding Percentages and Fractions

This video tutorial teaches how to express one quantity as a percentage of another. It begins with an introduction to the concept, linking it to expressing quantities as fractions. The video provides several examples, including expressing one as a percentage of four, nine as a percentage of eighteen, twelve as a percentage of fifteen, nineteen as a percentage of nineteen, and 110 as a percentage of 105. Each example demonstrates the calculation process, converting fractions to decimals and then to percentages, with explanations on rounding and handling recurring decimals.

What is the first step in expressing one quantity as a percentage of another?

• Add the quantities together.

• Subtract the smaller quantity from the larger one.

• Multiply the quantity by 100.

• Convert the quantity to a fraction.

What is the first step in converting a fraction to a percentage?

• Add the numerator and denominator.

• Subtract the denominator from the numerator.

• Divide the numerator by the denominator.

• Multiply by 100.

How do you express 1 as a percentage of 4?

• 50%

• 25%

• 15%

• 10%

What is the decimal equivalent of 1/4?

• 0.25

• 0.1

• 0.75

• 0.5

What is the percentage equivalent of 0.25?

• 25%

• 20%

• 30%

• 15%

How do you express 9 as a percentage of 18?

• 25%

• 50%

• 75%

• 100%

What is the decimal equivalent of 9/18?

• 0.5

• 1.0

• 0.75

• 0.25

When a decimal has only one digit after the point, what should you do?

• Leave it as it is.

• Add a zero to make it two digits.

• Multiply by 10.

• Divide by 10.

What is the percentage equivalent of 0.5?

• 25%

• 100%

• 50%

• 75%

How do you express 12 as a percentage of 15?

• 60%

• 90%

• 70%

• 80%