# Activities 4

### 4.1)

Expand or simplify these fractions so that they have the same denominator.

a)
$\frac{1}{3}$ and $\frac{4}{6}$
b)
$\frac{3}{4}$ and $\frac{7}{2}$
c)
$\frac{11}{5}$ and $\frac{1}{10}$
d)
$\frac{2}{9}$ and $\frac{5}{3}$
e)
$\frac{5}{7}$ and $\frac{3}{4}$
f)
$\frac{10}{3}$ and $\frac{15}{4}$
g)
$\frac{2}{7}$ and $\frac{4}{10}$
h)
$\frac{16}{5}$ and $\frac{8}{3}$
i)
$\frac{4}{12}$ and $\frac{3}{3}$

a)
$\frac{1}{3}$ and $\frac{4}{6}$
b)
$\frac{3}{4}$ and $\frac{7}{2}$
c)
$\frac{11}{5}$ and $\frac{1}{10}$
d)
$\frac{2}{9}$ and $\frac{5}{3}$
e)
$\frac{5}{7}$ and $\frac{3}{4}$
f)
$\frac{10}{3}$ and $\frac{15}{4}$
g)
$\frac{2}{7}$ and $\frac{4}{10}$
h)
$\frac{16}{5}$ and $\frac{8}{3}$
i)
$\frac{4}{12}$ and $\frac{3}{3}$

### 4.2)

a)
$\frac{4}{3}+\frac{5}{16}$
b)
$\frac{2}{5}+\frac{4}{8}$
c)
$\frac{7}{12}+\frac{3}{9}$
d)
$\frac{4}{3}+\frac{1}{4}$
e)
$\frac{15}{21}+\frac{6}{14}$
f)
$\frac{12}{11}+\frac{3}{4}$
g)
$\frac{12}{11}-\frac{4}{3}$
h)
$\frac{43}{22}-\frac{31}{33}$
i)
$\frac{4}{3}-\frac{2}{8}$
j)
$\frac{1}{3}-\frac{2}{10}$
k)
$\frac{12}{5}-\frac{3}{14}$
l)
$\frac{5}{3}-\frac{2}{4}$

a)
$\frac{4}{3}+\frac{5}{16}$
b)
$\frac{2}{5}+\frac{4}{8}$
c)
$\frac{7}{12}+\frac{3}{9}$
d)
$\frac{4}{3}+\frac{1}{4}$
e)
$\frac{15}{21}+\frac{6}{14}$
f)
$\frac{12}{11}+\frac{3}{4}$
g)
$\frac{12}{11}-\frac{4}{3}$
h)
$\frac{43}{22}-\frac{31}{33}$
i)
$\frac{4}{3}-\frac{2}{8}$
j)
$\frac{1}{3}-\frac{2}{10}$
k)
$\frac{12}{5}-\frac{3}{14}$
l)
$\frac{5}{3}-\frac{2}{4}$

### 4.3)

a)
$\frac{1}{2}+\frac{1}{3}$
b)
$\frac{3}{13}+\frac{1}{11}$
c)
$\frac{8}{3}+\frac{3}{15}$
d)
$\frac{8}{16}+\frac{2}{4}$
e)
$\frac{2}{6}+\frac{5}{56}$
f)
$\frac{4}{17}+\frac{3}{51}$
g)
$\frac{1}{2}+\frac{5}{8}$
h)
$\frac{13}{28}+\frac{4}{14}$
i)
$\frac{22}{33}+\frac{3}{11}$
j)
$\frac{25}{100}+\frac{40}{50}$
k)
$\frac{37}{20}+\frac{37}{40}$
l)
$\frac{1}{1}+\frac{3}{3}$

a)
$\frac{1}{2}+\frac{1}{3}$
b)
$\frac{3}{13}+\frac{1}{11}$
c)
$\frac{8}{3}+\frac{3}{15}$
d)
$\frac{8}{16}+\frac{2}{4}$
e)
$\frac{2}{6}+\frac{5}{56}$
f)
$\frac{4}{17}+\frac{3}{51}$
g)
$\frac{1}{2}+\frac{5}{8}$
h)
$\frac{13}{28}+\frac{4}{14}$
i)
$\frac{22}{33}+\frac{3}{11}$
j)
$\frac{25}{100}+\frac{40}{50}$
k)
$\frac{37}{20}+\frac{37}{40}$
l)
$\frac{1}{1}+\frac{3}{3}$

### 4.4)

Subtract these fractions.

a)
$\frac{5}{6}-\frac{1}{3}$
b)
$\frac{4}{10}-\frac{4}{11}$
c)
$\frac{11}{12}-\frac{3}{4}$
d)
$\frac{6}{3}-\frac{3}{2}$
e)
$\frac{14}{14}-\frac{42}{42}$
f)
$\frac{12}{5}-\frac{3}{20}$
g)
$\frac{3}{5}-\frac{4}{15}$
h)
$\frac{21}{28}-\frac{1}{7}$
i)
$\frac{47}{99}-\frac{1}{3}$
j)
$\frac{31}{7}-\frac{5}{14}$
k)
$\frac{22}{10}-\frac{5}{5}$
l)
$\frac{42}{12}-\frac{4}{6}$

a)
$\frac{5}{6}-\frac{1}{3}$
b)
$\frac{4}{10}-\frac{4}{11}$
c)
$\frac{11}{12}-\frac{3}{4}$
d)
$\frac{6}{3}-\frac{3}{2}$
e)
$\frac{14}{14}-\frac{42}{42}$
f)
$\frac{12}{5}-\frac{3}{20}$
g)
$\frac{3}{5}-\frac{4}{15}$
h)
$\frac{21}{28}-\frac{1}{7}$
i)
$\frac{47}{99}-\frac{1}{3}$
j)
$\frac{31}{7}-\frac{5}{14}$
k)
$\frac{22}{10}-\frac{5}{5}$
l)
$\frac{42}{12}-\frac{4}{6}$

### 4.5)

Calculate these expressions with three fractions.

a)
$\frac{1}{3}+\frac{5}{6}-\frac{1}{12}$
b)
$\frac{4}{8}-\frac{1}{4}+\frac{3}{2}$
c)
$\frac{5}{25}+\frac{3}{75}-\frac{2}{100}$
d)
$\frac{6}{7}-\frac{4}{21}+\frac{7}{14}$
e)
$\frac{6}{13}-\frac{4}{39}+\frac{4}{52}$
f)
$\frac{3}{1}-\frac{4}{3}-\frac{1}{6}$

a)
$\frac{1}{3}+\frac{5}{6}-\frac{1}{12}$
b)
$\frac{4}{8}-\frac{1}{4}+\frac{3}{2}$
c)
$\frac{5}{25}+\frac{3}{75}-\frac{2}{100}$
d)
$\frac{6}{7}-\frac{4}{21}+\frac{7}{14}$
e)
$\frac{6}{13}-\frac{4}{39}+\frac{4}{52}$
f)
$\frac{3}{1}-\frac{4}{3}-\frac{1}{6}$

You can find the solutions here.

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