Finding Percentages and Fractions

In this video, Mr. J explains how to calculate what percent one number is of another. He demonstrates this through three examples: 17 is what percent of 20, 30 is what percent of 75, and 9 is what percent of 24. Each example involves converting a fraction to a decimal and then to a percentage. The video provides a step-by-step guide to performing these calculations manually, emphasizing the importance of understanding fractions as division and converting decimals to percentages by multiplying by 100.

What is the first step in finding what percent one number is of another?

• Subtract the numbers

• Add the numbers

• Multiply the numbers

• Convert the numbers to fractions

In the example where 17 is what percent of 20, what is the fraction representation?

• 17/100

• 20/17

• 17/20

• 100/20

After converting a fraction to a decimal, what is the next step to find the percentage?

• Add 100

• Divide by 100

• Multiply by 100

• Subtract 100

What percentage is 17 of 20?

• 85%

• 90%

• 75%

• 80%

In the example where 30 is what percent of 75, what is the decimal representation?

• 0.4

• 0.3

• 0.5

• 0.6

What percentage is 30 of 75?

• 50%

• 30%

• 40%

• 60%

In the example where 9 is what percent of 24, what is the fraction representation?

• 9/24

• 100/24

• 24/9

• 9/100

What percentage is 9 of 24?

• 35%

• 37.5%

• 40%

• 30%

What is the final step in converting a decimal to a percentage?

• Move the decimal point two places to the right

• Move the decimal point two places to the left

• Add 10 to the decimal

• Subtract 10 from the decimal

What is the general method to find what percent one number is of another?

• Add the numbers and divide by 2

• Multiply the numbers directly

• Convert to fraction, then to decimal, then to percentage

• Subtract the smaller number from the larger