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CanadaON
Grade 7

4.01 Converting between percentages, fractions, and decimals

Worksheet
Percentages
1

What does the \% symbol mean when placed after a number?

2

Fill in the blanks to make the following statements true:

a

29\% is equivalent to 29 out of .

b

53\% is equivalent to out of 100.

3

Given the grids below, answer the following:

i

How many squares are shaded?

ii

What percentage of the grid is shaded?

iii

What fraction of the grid does this percentage represent?

a
b
Converting from percentages
4

Write the following as fractions in their simplest form:

a

68\%

b

13\%

c

55\%

d

75\%

e

37\%

f

94\%

g

45\%

h

2.5\%

5

Write the following as decimals:

a

54\%

b

60\%

c

70\%

d

3\%

e

76\%

f

50.5\%

g

82\%

h

97.9\%

Converting to percentages
6

For each of the following fractions:

i

Write an equivalent fraction with a denominator of 100.

ii

Write it as a percentage.

a
\dfrac{5}{10}
b
\dfrac{9}{300}
c
\dfrac{1}{8}
d
\dfrac{45}{200}
7

Write the following as percentages:

a

\dfrac{83}{100}

b

\dfrac{4}{5}

c

\dfrac{42}{100}

d

\dfrac{39}{60}

e

\dfrac{93}{150}

f

\dfrac{21}{35}

g

3\dfrac{7}{10}

h

\dfrac{9}{50}

8

Consider the fraction \dfrac{2}{3}.

a

Is there an equivalent fraction that has a denominator of 100, and a whole number as its numerator?

b

What is the closest whole percent to \dfrac{2}{3}?

9

For each of the following pairs, either identify that they are the same or state which number is larger:

a

\dfrac{1}{8},\quad 13\%

b

\dfrac{4}{25},\quad 16\%

c

\dfrac{63}{90},\quad 70\%

d

\dfrac{1}{3},\quad 27\%

10

Write the following as a percentages:

a

0.24

b

0.1

c

0.857

d

0.08

e

0.71

f

0.24

g

0.04

h

0.041

Comparing different values
11

When converting a fraction or decimal to a percentage, why is it necessary to multiply by 100\%?

12

When converting from percentage to a fraction or decimal, why is it necessary to divide by 100\%?

13

Convert between percentages, fractions and decimals to complete the table:

FractionDecimalPercentage
\dfrac{11}{100}
0.83
\dfrac{5}{8}
14

Express the following as both a fraction and a decimal:

a

80\%

b

47\dfrac{1}{2}\%

15

For the following groups of numbers:

i

Rewrite the group as percentages

ii

Hence, order the original group from smallest to largest.

a
\dfrac{5}{10},\quad 100\%,\quad 0.3
b
\dfrac{1}{4},\quad 60\%,\quad 0.3
c
\dfrac{3}{8},\quad 20\%,\quad 0.8
d
\dfrac{3}{15},\quad 45\%,\quad 0.27
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Outcomes

7.B1.3

Read, represent, compare, and order rational numbers, including positive and negative fractions and decimal numbers to thousandths, in various contexts.

7.B1.7

Convert between fractions, decimal numbers, and percents, in various contexts.

7.B2.2

Understand and recall commonly used percents, fractions, and decimal equivalents.

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