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3 years ago

Multiply the fractions: 2 / 5 ∙ 3 / 4.

Mathematics

1 answer:

Bingel [31]3 years ago

4 0

Answer:

$\frac{3}{10}$

Step-by-step explanation:

$\frac{2}{5} * \frac{3}{4}$ can be solved by just multiplying the numerators together and the denominators together

2 * 3 = 6 and 5 * 4 = 20 so the answer would be $\frac{6}{20}$

This simplifies to $\frac{3}{10}$

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$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{cccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------\\\\$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s^2}{s^2}=\cfrac{20}{180}\implies \left( \cfrac{s}{s} \right)^2=\cfrac{20}{180}\implies \cfrac{s}{s}=\sqrt{\cfrac{20}{180}}
\\\\\\
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