Multiplication of Fractions (Destiny C Sweet's Question on Facebook)

[Sudharaka]

Destiny C Sweet on Facebook writes:

Can someone take a look at this mixed number multiplication problem below... and explain to me how they got this answer? When you work the problem out find the product and reduce to the lowest terms...

\[4\frac{3}{4}\times 9\frac{4}{8}=45\frac{1}{8}\]

 

[Sudharaka]

Destiny C Sweet on Facebook writes:

Can someone take a look at this mixed number multiplication problem below... and explain to me how they got this answer? When you work the problem out find the product and reduce to the lowest terms...

\[4\frac{3}{4}\times 9\frac{4}{8}=45\frac{1}{8}\]

Hi Destiny, :)

First we convert the mixed fractions into improper fractions and then do the multiplication. Finally we convert the resulting improper fraction into a mixed fraction. For learn how to convert mixed fractions into improper fractions you might find >>this<< helpful.

\begin{eqnarray}

4\frac{3}{4}\times 9\frac{4}{8}&=&4\frac{3}{4}\times 9\frac{1}{2}\\

&=&\frac{19}{4}\times\frac{19}{2}\\

&=&\frac{361}{8}\\

&=&45\frac{1}{8}

\end{eqnarray}