Question

meaning of percent

• percent means \out of 100.\
• 85% means \85 out of 100\ or \\(\frac{85}{100}\\).

1. each grid contains 100 squares. shade in the number of squares that represent each percent.

a) 75%
b) 50%
c) 32%

1. write each percent as a fraction out of 100.

a) 75% = \\(\frac{\quad}{100}\\)
b) 50% = \\(\frac{\quad}{100}\\)
c) 32% = \\(\frac{\quad}{100}\\)

fractions, percents, and decimals

• in math, the fraction bar means divide.
• to change \\(\frac{3}{4}\\) to a percent on your calculator, press: c 3 \div 4 \times 100 =
• you should get an answer of 75. this means that \\(\frac{3}{4} = 75\\%\\).

1. convert each fraction to a percent.

a) \\(\frac{3}{8}\\)
b) \\(\frac{1}{4}\\)
c) \\(\frac{1}{2}\\)

Explanation:

⚡ Using what you learned: converting between fractions, decimals, percents

Step 1: Write percents as fractions out of 100

Percent means "out of 100", so we write the percent number directly over 100.

a) \( 75\% = \frac{75}{100} \)

b) \( 50\% = \frac{50}{100} \)

c) \( 32\% = \frac{32}{100} \)

Step 2: Convert fractions to percents

To convert a fraction to a percent, divide the top number (numerator) by the bottom number (denominator) and multiply by 100.

a) For \( \frac{3}{8} \):

$$ 3 \div 8 = 0.375 $$

$$ 0.375 \times 100 = 37.5\% $$

b) For \( \frac{1}{4} \):

$$ 1 \div 4 = 0.25 $$

$$ 0.25 \times 100 = 25\% $$

c) For \( \frac{1}{2} \):

$$ 1 \div 2 = 0.5 $$

$$ 0.5 \times 100 = 50\% $$

Answer:

2. Write each percent as a fraction out of 100:

• a) \( \frac{75}{100} \)
• b) \( \frac{50}{100} \)
• c) \( \frac{32}{100} \)

3. Convert each fraction to a percent:

• a) \( 37.5\% \)
• b) \( 25\% \)
• c) \( 50\% \)