Converting Fractions to Decimals and Percents

This video tutorial explains how to convert a fraction into a decimal and then into a percent. The example used is the fraction 2/15. The instructor demonstrates the long division method to convert the fraction into a repeating decimal, 0.1333, with the digit 3 repeating. The video then shows how to convert this decimal into a percentage by moving the decimal point two places to the right, resulting in 13.3% with the 3 repeating. The tutorial concludes with a brief mention of additional resources for further learning.

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

• Add trailing zeros

• Use long division

• Move the decimal point

• Subtract the numerator from the denominator

In the example, what fraction is being converted?

• 1/15

• 3/15

• 2/10

• 2/15

What is the decimal representation of 2/15?

• 0.1333

• 0.1433

• 0.1533

• 0.1234

How many times does 15 go into 20 during the long division process?

• 3 times

• 1 time

• 2 times

• 4 times

What should you do if you have a remainder during long division?

• Multiply the remainder by 10

• Add the remainder to the quotient

• Bring down the next zero

• Stop the division

What is the repeating digit in the decimal representation of 2/15?

• 1

• 5

• 2

• 3

How is a repeating decimal indicated?

• With a semicolon

• With a comma

• With a bar

• With a dot

What is the next step after converting a fraction to a decimal to get a percent?

• Subtract the numerator from the denominator

• Move the decimal point two places to the right

• Use long division

• Add trailing zeros

What is the percent representation of the fraction 2/15?

• 15.3%

• 14.3%

• 13.3%

• 12.3%

What is the decimal representation of 2/15 with the repeating bar notation?

• 0.13

• 0.133

• 0.13 with a bar over 3

• 0.1333