Percent and Fractions

Decimals, Fractions and Percentages

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Decimals, Fractions and Percentages are just different ways of showing the same value:

From Percent to Decimal

• To convert from percent to decimal divide by 100 and remove the % sign.

• An easy way to divide by 100 is to move the decimal point 2 places to the left:

From Decimal to Percent

• To convert from decimal to percent multiply by 100%

• An easy way to multiply by 100 is to move the decimal point 2 places to the right:

From Fraction to Percentage

From Percentage to Fraction

• To convert a percentage to a fraction, first convert to a decimal (divide by 100),

• Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number,100 for 2 numbers, etc)

Multiple Choice

Convert the decimal 0.875 to a percent

• 0.875%

• 8.75%

• 87.5%

• 875%

Multiple Choice

Convert the decimal 4.025 to a percent.

• 0.4025%

• 4.025%

• 40.25%

• 402.5%

Multiple Choice

Convert 18.75% to a decimal

• 0.001875

• 0.1875

• 0.01875

• 1.875

Multiple Choice

$$Express\ \frac{5}{8}\ as\ a\ percent$$  

• 58%

• 625%

• 62.5%

• 60.25%

Multiple Choice

$$Express\ \frac{17}{25}\ as\ a\ percent$$  

• 34%

• 68%

• 51%

• 85%

Multiple Choice

Express 5% as a fraction

• $$\frac{1}{5}$$

• $$\frac{1}{20}$$

• $$\frac{2}{5}$$

• $$\frac{1}{2}$$

Multiple Choice

Express 32% as a fraction

• $$\frac{3}{10}$$

• $$\frac{17}{50}$$

• $$\frac{9}{25}$$

• $$\frac{8}{25}$$

Multiple Choice

Convert 3.5% to a decimal

• 0.0035

• 0.035

• 0.35

• 3.5