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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)

Add or subtract these fractions.

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)

Add these fractions.

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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