How do you solve 36\frac{1}{2}\times 34\frac{1}{2}?

Oct 6, 2016

1259.25

Explanation:

Change both mixed numbers to improper fraction
$\frac{73}{2}$ x$\frac{69}{2}$ =$\frac{5037}{4}$=1259.25

Or (36+$\frac{1}{2}$)((34+$\frac{1}{2}$)
(36x34)+(36x$\frac{1}{2}$)+(34x$\frac{1}{2}$)+($\frac{1}{2}$x$\frac{1}{2}$)=1259.25

Oct 6, 2016

$1259 \frac{1}{4}$

Explanation:

To multiply $\textcolor{b l u e}{\text{mixed numbers}}$

• Change them to improper fractions.

•Cancel if possible and simplify.

$36 \frac{1}{2} = \frac{\left(2 \times 36 + 1\right)}{2} = \frac{73}{2} \leftarrow \text{ improper fraction}$

and $34 \frac{1}{2} = \frac{\left(2 \times 34 + 1\right)}{2} = \frac{69}{2} \leftarrow \text{ improper fraction}$

Calculation now becomes.

$\frac{73}{2} \times \frac{69}{2} \leftarrow \text{ there is no cancelling}$

To complete, multiply values on numerators and denominators.

$\frac{73}{2} \times \frac{69}{2} = \frac{73 \times 69}{2 \times 2} = \frac{5037}{4}$

$\Rightarrow \frac{5037}{4} = 1259 \frac{1}{4} \leftarrow \text{ divide 5037 by 4}$