Exploring Fraction, Decimal, and Percent Equivalents

This lesson covers the conversion between fractions, decimals, and percents using the power triangle. It explains how to convert fractions to decimals through division, decimals to percents by multiplying by 100, percents to fractions by eliminating the percent sign, decimals to fractions by reading them out loud, fractions to percents by scaling the denominator to 100, and percents to decimals by dividing by 100. The lesson emphasizes understanding equivalence and maintaining the same value across different forms.

What is the purpose of the power triangle?

• To calculate area

• To measure angles

• To help remember how to convert between fractions, decimals, and percents

• To solve algebraic equations

How do you convert a fraction to a decimal?

• Add the numerator and the denominator

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

• Multiply the numerator by the denominator

Tags

CCSS.8.NS.A.1

CCSS.7.NS.A.2D

What is the decimal equivalent of the fraction 1/4?

• 0.5

• 0.75

• 0.25

• 0.1

How do you convert a decimal to a percent?

• Subtract 100

• Add 100

• Multiply by 100

• Divide by 100

What is 0.23 as a percent?

• 0.23%

• 230%

• 23%

• 2.3%

How do you convert a percent to a fraction?

• Subtract 100 from the percent value

• Write the percent value over 100 and simplify

• Multiply the percent value by 100

• Add 100 to the percent value

What is the simplified fraction of 12%?

• 12/100

• 6/50

• 1/8

• 3/25

How do you convert a decimal to a fraction?

• Add 100 to the decimal

• Subtract 100 from the decimal

• Read the decimal out loud and write it over the place value

• Multiply the decimal by 100

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the fraction form of 0.37?

• 370/1000

• 3/7

• 37/100

• 37/10

Tags

CCSS.4.NF.C.6

How do you convert a percent to a decimal?

• Add 100

• Multiply by 100

• Divide by 100

• Subtract 100