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2.10 Converting between fractions, decimals and percents

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.

c

⬚\% is equivalent to 73 out of 100.

d

48.5\% is equivalent to out of 100.

e

110\% is equivalent to 110 out of .

f

53\% is equivalent to out of 100.

g

⬚\% is equivalent to 185 out of 100.

h

⬚\% is equivalent to 87.2 out of 100.

3

For each of 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
c
Percentages and fractions
4

Write the following as fractions in their simplest form:

a
68\%
b

13\%

c

55\%

d

275\%

e

37\%

f

94\%

g

450\%

h

2.5\%

5

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}
6

Write the following as percentages:

a

\dfrac{83}{100}

b

1\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

2\dfrac{9}{50}

7

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}?

Percentages and decimals
8

Write the following as decimals:

a

76\%

b

54\%

c

60\%

d

270\%

e

500\%

f

303\%

g

182\%

h

6897\%

9

Write the following as percentages:

a

0.24

b

1.1

c

0.857

d

8

e

1.71

f

24

g

13.04

h

0.041

10

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

11

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

12

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

FractionDecimalPercentage
\dfrac{11}{100}
1.83
\dfrac{5}{8}
13

Express the following as both a fraction and a decimal:

a

80\%

b

62\dfrac{1}{2}\%

c

47\dfrac{1}{2}\%

d

73\dfrac{1}{2}\%

e

85\dfrac{2}{5}\%

f

47\dfrac{1}{2}\%

g

54\dfrac{3}{10}\%

h

12\dfrac{3}{5}\%

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Outcomes

MA.6.NSO.3.5

Rewrite positive rational numbers in different but equivalent forms including fractions, terminating decimals and percentages.

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