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 Find $\frac{2}{7}\times\frac{5}{9}$
a) Is $\frac{2}{7}\times\frac{5}{9}$= $\frac{5}{9}\times\frac{2}{7}$
b) Is $\frac{2}{7}\times\frac{5}{9}$ > or$\frac{5}{9}\times\frac{2}{7}$?
Given: $\frac{2}{7}\times\frac{5}{9}$
Solution:
$\frac{2}{7}\times\frac{5}{9}$ = $\frac{10}{63}$
a) Multiplication of fractions is commutative.
So $\frac{2}{7}\times\frac{5}{9}$ = $\frac{5}{9}\times\frac{2}{7}$ = $\frac{10}{63}$
b) $\frac{10}{63}$ < $\frac{2}{7}$and $\frac{10}{63}$< $\frac{5}{9}$
Comparing$\frac{10}{63}$ and $\frac{2}{7}$
$\frac{10}{63}$ and $\frac{18}{63}$ so $\frac{10}{63}$ < $\frac{2}{7}$
Comparing $\frac{10}{63}$ and $\frac{5}{9}$
$\frac{10}{63}$ and $\frac{35}{63}$ so $\frac{10}{63}$ < $\frac{5}{9}$
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