# What is 11/25 * 5/11?

Apr 1, 2016

$\frac{1}{5}$

#### Explanation:

$1$. Since $5$ (numerator) and $25$ (denominator) can both be divided by a common factor of $5$, their values are reduced.

$\frac{11}{25} \cdot \frac{5}{11}$

$= \frac{11}{\textcolor{red}{\cancel{\textcolor{b l a c k}{25}}}} ^ 5 \cdot {\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}}}^{1} / 11$

$= \frac{11}{5} \cdot \frac{1}{11}$

$2$. Similarly, $11$ (numerator) and $11$ (denominator) can also be divided by a common factor. Thus, their values are also reduced.

$= {\textcolor{t e a l}{\cancel{\textcolor{b l a c k}{11}}}}^{1} / 5 \cdot \frac{1}{\textcolor{t e a l}{\cancel{\textcolor{b l a c k}{11}}}} ^ 1$

$= \frac{1}{5} \cdot \frac{1}{1}$

$= \textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \frac{1}{5} \textcolor{w h i t e}{\frac{a}{a}} |}}}$