Question

1. for each figure, state the fraction, decimal and percent that is shaded.
2. draw each of the following:

a) a square that is 50% shaded.
b) a rectangle that is 75% shaded.

Explanation:

Step1: Analyze first figure (pie - chart)

The pie - chart is divided into 12 equal parts and 4 are shaded. The fraction of the shaded part is $\frac{4}{12}=\frac{1}{3}$. To get the decimal, divide 1 by 3: $1\div3 = 0.\overline{3}$. To get the percent, multiply the decimal by 100: $0.\overline{3}\times100\approx33.3\%$.

Step2: Analyze second figure (rectangle divided into 10 parts)

The rectangle is divided into 10 equal parts and 6 are shaded. The fraction of the shaded part is $\frac{6}{10}=\frac{3}{5}$. The decimal is $6\div10 = 0.6$. The percent is $0.6\times100 = 60\%$.

Step3: Analyze third figure (rectangle divided into 100 parts)

The rectangle is divided into 100 equal parts and 37 are shaded. The fraction of the shaded part is $\frac{37}{100}$. The decimal is $37\div100 = 0.37$. The percent is $0.37\times100 = 37\%$.

Step4: For drawing a 50% - shaded square

Draw a square and divide it into 2 equal parts (either by a vertical or horizontal line) and shade 1 part.

Step5: For drawing a 75% - shaded rectangle

Draw a rectangle and divide it into 4 equal parts (either by 3 vertical or 3 horizontal lines) and shade 3 parts.

Answer:

Figure	Fraction	Decimal	Percent
Second (rectangle of 10 parts)	$\frac{3}{5}$	$0.6$	$60\%$
Third (rectangle of 100 parts)	$\frac{37}{100}$	$0.37$	$37\%$
a)	- (drawing description)	- (drawing description)	- (drawing description)
b)	- (drawing description)	- (drawing description)	- (drawing description)

For a: Draw a square, divide it into 2 equal parts and shade 1 part.
For b: Draw a rectangle, divide it into 4 equal parts and shade 3 parts.