Percent from a Graph (Visual) 1

Question 1 of 5

Using the image below, find the following values:

Note: There are a total of

100

$100$ squares

Write fractions in the format “a/b”

$(i) Fraction of purple-shaded area:$ $(i) \text(Fraction of purple-shaded area:)$ (¾, 75/100, 3/4)

$(i i) Percentage of purple-shaded area:$ $(ii) \text(Percentage of purple-shaded area:)$ (75) $%$ $%$

$(i i i) Percentage of yellow-shaded area:$ $(iii) \text(Percentage of yellow-shaded area:)$ (25) $%$ $%$

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$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

$(i)$ Find the fraction of the purple-shaded region.

no. of purple-shaded parts

$=75$

total no. of equal parts

$=100$

$\frac{\mathsf{numerator}}{\mathsf{denominator}}$	$=$	$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

	$=$	$\frac{75}{100}$	Substitute values

$(ii)$ Find the percentage of the purple-shaded region.

Percentages are values per a hundred, or

$x/(100)$ . The per a hundred is represented by the symbol

$%$ .

Since the fraction has a denominator of

$100$ , get the numerator and add a percentage symbol

$(%)$ .

$\text(Percentage)$	$=$	$\frac{75}{100}$

	$=$	$75%$	Convert the denominator into a percentage symbol

$(iii)$ Find the percentage of the yellow-shaded region.

Since percentages amount to a hundred of a value, simply subtract the the percentage of the purple-shaded region from

$100%$ to get the percentage of the yellow-shaded region.

$\text(Percentage)$	$=$	$100-75$
	$=$	$25%$

$(i) 75/100$

$(ii) 75%$

$(iii) 25%$

Question 2 of 5

Using the image below, find the following values:

Note: There are a total of

$100$ squares

Write fractions in the format “a/b”

$(i) \text(Fraction of green-shaded area:)$ (82/100, 41/50)

$(ii) \text(Percentage of green-shaded area:)$ (82) $%$

$(iii) \text(Percentage of pink-shaded area:)$ (18) $%$

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$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

$(i)$ Find the fraction of the green-shaded region.

no. of green-shaded parts

$=82$

total no. of equal parts

$=100$

$\frac{\mathsf{numerator}}{\mathsf{denominator}}$	$=$	$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

	$=$	$\frac{82}{100}$	Substitute values

$(ii)$ Find the percentage of the green-shaded region.

Percentages are values per a hundred, or

$x/(100)$ . The per a hundred is represented by the symbol

$%$ .

Since the fraction has a denominator of

$100$ , get the numerator and add a percentage symbol

$(%)$ .

$\text(Percentage)$	$=$	$\frac{82}{100}$

	$=$	$82%$	Convert the denominator into a percentage symbol

$(iii)$ Find the percentage of the pink-shaded region.

Since percentages amount to a hundred of a value, simply subtract the the percentage of the green-shaded region from

$100%$ to get the percentage of the pink-shaded region.

$\text(Percentage)$	$=$	$100-82$
	$=$	$18%$

$(i) 82/100$

$(ii) 82%$

$(iii) 18%$

Question 3 of 5

Using the image below, find the following values:

Write fractions in the format “a/b”

$(i) \text(Fraction of purple-shaded area:)$ (2/5, 10/25)

$(ii) \text(Percentage of purple-shaded area:)$ (40) $%$

$(iii) \text(Percentage of yellow-shaded area:)$ (60) $%$

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$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

$(i)$ Find the fraction of the purple-shaded region.

no. of purple-shaded parts

$=10$

total no. of equal parts

$=25$

$\frac{\mathsf{numerator}}{\mathsf{denominator}}$	$=$	$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

	$=$	$\frac{10}{25}$	Substitute values

	$=$	$\frac{2}{5}$	Simplify

$(ii)$ Find the percentage of the purple-shaded region.

Percentages are values per a hundred, or

$x/(100)$ . The per a hundred is represented by the symbol

$%$ .

To get the percentage, multiply the fraction value by

$100%$ .

$\text(Percentage)$	$=$	$\frac{2}{5}\times100$

	$=$	$\frac{2}{5}\times\frac{100%}{1}$

	$=$	$\frac{200%}{5}$

	$=$	$40%$

$(iii)$ Find the percentage of the yellow-shaded region.

Since percentages amount to a hundred of a value, simply subtract the percentage of the purple-shaded region from

$100%$ to get the percentage of the yellow-shaded region.

$\text(Percentage)$	$=$	$100-40$
	$=$	$60%$

$(i) 2/5$

$(ii) 40%$

$(iii) 60%$

Question 4 of 5

Using the image below, find the following values:

Note: There are a total of

$100$ squares

Write fractions in the format “a/b”

$(i) \text(Fraction of purple-shaded area:)$ (13/100)

$(ii) \text(Percentage of purple-shaded area:)$ (13) $%$

$(iii) \text(Percentage of beige-shaded area:)$ (87) $%$

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$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

$(i)$ Find the fraction of the purple-shaded region.

no. of purple-shaded parts

$=13$

total no. of equal parts

$=100$

$\frac{\mathsf{numerator}}{\mathsf{denominator}}$	$=$	$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

	$=$	$\frac{13}{100}$	Substitute values

$(ii)$ Find the percentage of the purple-shaded region.

Percentages are values per a hundred, or

$x/(100)$ . The per a hundred is represented by the symbol

$%$ .

Since the fraction has a denominator of

$100$ , get the numerator and add a percentage symbol

$(%)$ .

$\text(Percentage)$	$=$	$\frac{13}{100}$

	$=$	$13%$	Convert the denominator into a percentage symbol

$(iii)$ Find the percentage of the beige-shaded region.

Since percentages amount to a hundred of a value, simply subtract the the percentage of the purple-shaded region from

$100%$ to get the percentage of the beige-shaded region.

$\text(Percentage)$	$=$	$100-13$
	$=$	$87%$

$(i) 13/100$

$(ii) 13%$

$(iii) 87%$

Question 5 of 5

Using the image below, find the following values:

Write fractions in the format “a/b”

$(i) \text(Fraction of purple-shaded area:)$ (3/5)

$(ii) \text(Percentage of purple-shaded area:)$ (60) $%$

$(iii) \text(Percentage of pink-shaded area:)$ (40) $%$

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$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

$(i)$ Find the fraction of the purple-shaded region.

no. of purple-shaded parts

$=3$

total no. of equal parts

$=5$

$\frac{\mathsf{numerator}}{\mathsf{denominator}}$	$=$	$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$

	$=$	$\frac{3}{5}$	Substitute values

$(ii)$ Find the percentage of the purple-shaded region.

Percentages are values per a hundred, or

$x/(100)$ . The per a hundred is represented by the symbol

$%$ .

To get the percentage, multiply the fraction value by

$100%$ .

$\text(Percentage)$	$=$	$\frac{3}{5}\times100$

	$=$	$\frac{3}{5}\times\frac{100%}{1}$

	$=$	$\frac{300%}{5}$

	$=$	$60%$

$(iii)$ Find the percentage of the pink-shaded region.

Since percentages amount to a hundred of a value, simply subtract the percentage of the purple-shaded region from

$100%$ to get the percentage of the pink-shaded region.

$\text(Percentage)$	$=$	$100-60$
	$=$	$40%$

$(i) 3/5$

$(ii) 60%$

$(iii) 40%$

Percent from a Graph (Visual) 1

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