Percent from a Graph (Visual) 3

Question 1 of 4

Using the image below, find the following values:

Write fractions in the format “a/b” and mixed fractions in the format “a b/c”

$(i) \text(Fraction of blue-shaded area:)$ (2/3, ⅔)

$(ii) \text(Percentage of blue-shaded area:)$ (66 2/3, 66 ⅔, 66.6, 66.666) $%$

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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 blue-shaded region.

no. of purple-shaded parts

$=2$

total no. of equal parts

$=3$

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

	$=$	$\frac{2}{3}$	Substitute values

$(ii)$ Find the percentage of the blue-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

$100%$ .

$\text(Percentage)$	$=$	$\frac{2}{3}\times100$

	$=$	$\frac{2}{3}\times\frac{100%}{1}$

	$=$	$\frac{200%}{3}$

	$=$	$66 2/3%$	Keep the remainder in fraction form

$(i) 2/3$

$(ii) 66 2/3%$

Question 2 of 4

Using the image below, find the following values together:

Write fractions in the format “a/b” and mixed fractions in the format “a b/c”

$(i) \text(Fraction of red-shaded area:)$ (1 ½, 1 1/2, 1 3/6)

$(ii) \text(Percentage of red-shaded area:)$ (150) $%$

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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 red-shaded region.

Find the number of shaded regions for each of the figures.

First figure

no. of red-shaded parts

$=6$

total no. of equal parts

$=6$

Second figure

no. of red-shaded parts

$=3$

total no. of equal parts

$=6$

Next, use the formula to get the fraction of each figure.

First figure

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

	$=$	$\frac{6}{6}$	Substitute values

	$=$	$1$	Simplify

Second figure

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

	$=$	$\frac{3}{6}$	Substitute values

	$=$	$\frac{1}{2}$	Simplify

Finally, combine the fractions of each figure.

$\text(Fraction)$	$=$	$1+1/2$

	$=$	$1 1/2$

$(ii)$ Find the percentage of the red-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 of each figure by

$100%$ .

First figure

$\text(Percentage)$	$=$	$1\times100$
	$=$	$100%$

Second figure

$\text(Percentage)$	$=$	$\frac{1}{2}\times100$

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

	$=$	$\frac{100%}{2}$

	$=$	$50%$

Finally, add the two percentages.

$\text(Percentage)$	$=$	$100+50$
	$=$	$150%$

$(i) 1 1/2$

$(ii) 150%$

Question 3 of 4

Using the image below, find the following values together:

Write fractions in the format “a/b” and mixed fractions in the format “a b/c”

$(i) \text(Fraction of blue-shaded area:)$ (2 ½, 2 1/2, 2 3/6)

$(ii) \text(Percentage of blue-shaded area:)$ (250) $%$

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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 blue-shaded region.

Find the number of shaded regions for each of the figures.

First figure

no. of red-shaded parts

$=6$

total no. of equal parts

$=6$

Second figure

no. of red-shaded parts

$=6$

total no. of equal parts

$=6$

Third figure

no. of red-shaded parts

$=3$

total no. of equal parts

$=6$

Next, use the formula to get the fraction of each figure.

First figure

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

	$=$	$\frac{6}{6}$	Substitute values

	$=$	$1$	Simplify

Second figure

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

	$=$	$\frac{6}{6}$	Substitute values

	$=$	$1$	Simplify

Third figure

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

	$=$	$\frac{3}{6}$	Substitute values

	$=$	$\frac{1}{2}$	Simplify

Finally, combine the fractions of each figure.

$\text(Fraction)$	$=$	$1+1+1/2$

	$=$	$2 1/2$

$(ii)$ Find the percentage of the blue-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 of each figure by

$100%$ .

First figure

$\text(Percentage)$	$=$	$1\times100$
	$=$	$100%$

Second figure

$\text(Percentage)$	$=$	$1\times100$
	$=$	$100%$

Third figure

$\text(Percentage)$	$=$	$\frac{1}{2}\times100$

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

	$=$	$\frac{100%}{2}$

	$=$	$50%$

Finally, add the three percentages.

$\text(Percentage)$	$=$	$100+100+50$
	$=$	$250%$

$(i) 2 1/2$

$(ii) 250%$

Question 4 of 4

Using the image below, find the following values:

Write fractions in the format “a/b” and mixed fractions in the format “a b/c”

$(i) \text(Fraction of blue-shaded area:)$ (⅓, 1/3)

$(ii) \text(Percentage of blue-shaded area:)$ (33 1/3, 33 ⅓, 33.3, 33.333) $%$

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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 blue-shaded region.

no. of purple-shaded parts

$=1$

total no. of equal parts

$=3$

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

	$=$	$\frac{1}{3}$	Substitute values

$(ii)$ Find the percentage of the blue-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

$100%$ .

$\text(Percentage)$	$=$	$\frac{1}{3}\times100$

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

	$=$	$\frac{100%}{3}$

	$=$	$33 1/3%$	Keep the remainder in fraction form

$(i) 1/3$

$(ii) 33 1/3%$

Percent from a Graph (Visual) 3

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