Convert the following fractions to decimals. Show your work.

4, .5, and the Challenge section.

.4: Copy and complete

1. Step 1: Convert the fraction to a decimal.

   $$\frac{43}{100} = 0.43$$

   The answer is $\boxed{0.43}$

2. Step 1: Convert the fraction to a decimal.

   $$\frac{9}{10} = 0.9$$

   The answer is $\boxed{0.9}$

3. Step 1: Find the equivalent fraction with a denominator of 10.

   $$\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}$$

   Step 2: Convert the equivalent fraction to a decimal.

   $$\frac{4}{10} = 0.4$$

   The answer is $\boxed*{\frac{4}{10} = 0.4*}$

4. Step 1: Find an equivalent fraction with a denominator of 100.

   $$\frac{1}{4} = \frac{1 \times 25}{4 \times 25} = \frac{25}{100}$$

   Step 2: Convert the equivalent fraction to a decimal.

   $$\frac{25}{100} = 0.25$$

   The answer is $\boxed*{\frac{25}{100} = 0.25*}$

5. Step 1: Find the equivalent fraction with a denominator of 100.

   $$\frac{11}{20} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100}$$

   Step 2: Convert the equivalent fraction to a decimal.

   $$\frac{55}{100} = 0.55$$

   The answer is $\boxed*{\frac{55}{100} = 0.55*}$

6. Step 1: Find the equivalent fraction with a denominator of 100.

   $$\frac{19}{20} = \frac{19 \times 5}{20 \times 5} = \frac{95}{100}$$

   Step 2: Convert the equivalent fraction to a decimal.

   $$\frac{95}{100} = 0.95$$

   The answer is $\boxed*{\frac{95}{100} = 0.95*}$

.5

1. Write as common fractions in their simplest form:

a) 0.26

Step 1: Write the decimal as a fraction.

$$0.26 = \frac{26}{100}$$

Step 2: Simplify the fraction.

$$\frac{26 \div 2}{100 \div 2} = \frac{13}{50}$$

The answer is $\boxed*{\frac{13}{50}*}$

b) 0.08

Step 1: Write the decimal as a fraction.

$$0.08 = \frac{8}{100}$$

Step 2: Simplify the fraction.

$$\frac{8 \div 4}{100 \div 4} = \frac{2}{25}$$

The answer is $\boxed*{\frac{2}{25}*}$

c) 0.43

Step 1: Write the decimal as a fraction.

$$0.43 = \frac{43}{100}$$

Step 2: The fraction is already in its simplest form.
The answer is $\boxed*{\frac{43}{100}*}$

d) 0.25

Step 1: Write the decimal as a fraction.

$$0.25 = \frac{25}{100}$$

Step 2: Simplify the fraction.

$$\frac{25 \div 25}{100 \div 25} = \frac{1}{4}$$

The answer is $\boxed*{\frac{1}{4}*}$

2. Write the following decimal numbers as percentages:

a) 0.4

Step 1: Multiply the decimal by 100%.

$$0.4 \times 100\% = 40\%$$

The answer is $\boxed{40\%}$

b) 0.23

Step 1: Multiply the decimal by 100%.

$$0.23 \times 100\% = 23\%$$

The answer is $\boxed{23\%}$

3. Write the following common fractions as decimal fractions:

a) $\frac{17}{50}$

Step 1: Convert the fraction to an equivalent fraction with a denominator of 100.

$$\frac{17}{50} = \frac{17 \times 2}{50 \times 2} = \frac{34}{100}$$

Step 2: Convert the equivalent fraction to a decimal.

$$\frac{34}{100} = 0.34$$

The answer is $\boxed{0.34}$

b) $\frac{13}{20}$

Step 1: Convert the fraction to an equivalent fraction with a denominator of 100.

$$$$