Question

remember
for problems 11–14, fill in the unknown fraction, decimal, or percent.

	11.	12.	13.	14.
decimal		0.45
percent	30%		87%

Explanation:

Step1: Convert 30% to fraction

To convert a percent to a fraction, divide by 100 and simplify:
$30\% = \frac{30}{100} = \frac{3}{10}$

Step2: Convert 30% to decimal

To convert a percent to a decimal, divide by 100:
$30\% = \frac{30}{100} = 0.3$

Step3: Convert 0.45 to fraction

To convert a decimal to a fraction, write as $\frac{45}{100}$ and simplify:
$0.45 = \frac{45}{100} = \frac{9}{20}$

Step4: Convert 0.45 to percent

To convert a decimal to a percent, multiply by 100:
$0.45 \times 100 = 45\%$

Step5: Convert 87% to fraction

To convert a percent to a fraction, divide by 100:
$87\% = \frac{87}{100}$

Step6: Convert 87% to decimal

To convert a percent to a decimal, divide by 100:
$87\% = \frac{87}{100} = 0.87$

Step7: Convert $\frac{1}{2}$ to decimal

To convert a fraction to a decimal, divide numerator by denominator:
$\frac{1}{2} = 1 \div 2 = 0.5$

Step8: Convert $\frac{1}{2}$ to percent

To convert a decimal to a percent, multiply by 100:
$0.5 \times 100 = 50\%$

Answer:

	Fraction	Decimal	Percent
12.	$\frac{9}{20}$	$0.45$	$45\%$
13.	$\frac{87}{100}$	$0.87$	$87\%$
14.	$\frac{1}{2}$	$0.5$	$50\%$