# Activities 5

## 5.1)

Compute and simplify the expressions below as much as possible.

a)
$3×\frac{4}{6}$
b)
$5×\frac{3}{5}$
c)
$6×\frac{4}{12}$
d)
$2×\frac{9}{3}$
e)
$\frac{8}{4}×5$
f)
$\frac{4}{3}×12$
g)
$\frac{4}{6}×9$
h)
$\frac{14}{8}×4$

a)
$3×\frac{4}{6}$
b)
$5×\frac{3}{5}$
c)
$6×\frac{4}{12}$
d)
$2×\frac{9}{3}$
e)
$\frac{8}{4}×5$
f)
$\frac{4}{3}×12$
g)
$\frac{4}{6}×9$
h)
$\frac{14}{8}×4$

## 5.2)

Compute and simplify these expressions as much as possible.

a)
$\frac{3}{5}×\frac{2}{3}$
b)
$\frac{2}{7}×\frac{1}{2}$
c)
$\frac{1}{2}×\frac{1}{3}$
d)
$\frac{5}{2}×\frac{2}{5}$
e)
$\frac{6}{11}×\frac{2}{3}$
f)
$\frac{5}{8}×\frac{9}{2}$
g)
$\frac{6}{4}×\frac{2}{4}$
h)
$\frac{10}{13}×\frac{1}{4}$
i)
$\frac{4}{9}×\frac{6}{8}$
j)
$\frac{20}{25}×\frac{5}{2}$

a)
$\frac{3}{5}×\frac{2}{3}$
b)
$\frac{2}{7}×\frac{1}{2}$
c)
$\frac{1}{2}×\frac{1}{3}$
d)
$\frac{5}{2}×\frac{2}{5}$
e)
$\frac{6}{11}×\frac{2}{3}$
f)
$\frac{5}{8}×\frac{9}{2}$
g)
$\frac{6}{4}×\frac{2}{4}$
h)
$\frac{10}{13}×\frac{1}{4}$
i)
$\frac{4}{9}×\frac{6}{8}$
j)
$\frac{20}{25}×\frac{5}{2}$

## 5.3)

Compute and simplify these expressions as much as possible. (Hint: Use prime factorization.)

a)
$\frac{16}{7}×\frac{21}{256}$
b)
$\frac{15}{9}×\frac{27}{40}$
c)
$\frac{13}{18}×\frac{36}{26}$
d)
$\frac{24}{85}×\frac{51}{42}$
e)
$\frac{56}{57}×\frac{38}{24}$
f)
$\frac{24}{1440}×\frac{360}{3}×\frac{336}{360}$
g)
$\frac{2}{5}×\frac{5}{3}×\frac{3}{7}×\frac{7}{2}$
h)
$\frac{11}{12}×\frac{3}{7}×\frac{7}{11}×\frac{12}{3}$
i)
$\frac{6}{8}×\frac{9}{10}×\frac{10}{12}×\frac{16}{20}$
j)
$\frac{22}{5}×\frac{1}{7}×\frac{1}{11}×\frac{1}{3}$
k)
$\frac{2}{7}×\frac{3}{8}×\frac{3}{10}×\frac{4}{6}$
l)
$\frac{4}{3}×\frac{2}{6}×\frac{10}{3}×\frac{11}{9}$

a)
$\frac{16}{7}×\frac{21}{256}$
b)
$\frac{15}{9}×\frac{27}{40}$
c)
$\frac{13}{18}×\frac{36}{26}$
d)
$\frac{24}{85}×\frac{51}{42}$
e)
$\frac{56}{57}×\frac{38}{24}$
f)
$\frac{24}{1440}×\frac{360}{3}×\frac{336}{360}$
g)
$\frac{2}{5}×\frac{5}{3}×\frac{3}{7}×\frac{7}{2}$
h)
$\frac{11}{12}×\frac{3}{7}×\frac{7}{11}×\frac{12}{3}$
i)
$\frac{6}{8}×\frac{9}{10}×\frac{10}{12}×\frac{16}{20}$
j)
$\frac{22}{5}×\frac{1}{7}×\frac{1}{11}×\frac{1}{3}$
k)
$\frac{2}{7}×\frac{3}{8}×\frac{3}{10}×\frac{4}{6}$
l)
$\frac{4}{3}×\frac{2}{6}×\frac{10}{3}×\frac{11}{9}$

You can find the solutions here.

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