Converting Percentages to Fractions

The video tutorial explains how to convert percentages to fractions by first expressing the percentage as a ratio over 100, then simplifying the fraction by finding the greatest common factor. It covers examples including 45%, 6%, 136%, 64.2%, and 3 3/4%, demonstrating how to handle decimals and mixed numbers in the process.

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

• Multiply the percentage by 100

• Add 10 to the percentage

• Write the percentage as a ratio over 100

• Divide the percentage by 10

What is the simplified fraction form of 45%?

• 45/100

• 20/9

• 5/9

• 9/20

Which number is the greatest common factor of 6 and 100?

• 3

• 2

• 10

• 5

What is the simplified fraction form of 136%?

• 34/25

• 136/100

• 17/12

• 68/50

How do you handle a decimal in the numerator when converting 64.2% to a fraction?

• Divide the numerator by 10

• Subtract 0.2 from the numerator

• Multiply the numerator and denominator by 10

• Add 10 to the numerator

What is the simplified fraction form of 64.2%?

• 321/500

• 160/250

• 64.2/100

• 642/1000

How do you convert a mixed number percentage like 3 and 3/4% to a fraction?

• Convert the mixed number to an improper fraction

• Divide the whole number by the fraction

• Multiply the whole number by 100

• Add the whole number to the fraction

What is the improper fraction form of 3 and 3/4?

• 12/4

• 15/4

• 7/4

• 3/4

What is the simplified fraction form of 3 and 3/4%?

• 75/100

• 3/4

• 15/100

• 3/80

What is the common factor used to simplify 15 and 100 in the conversion of 3 and 3/4%?

• 15

• 3

• 5

• 10