Question

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

Answer 1

1259.25

Explanation:

Change both mixed numbers to improper fraction
`73/2` x`69/2` =`5037/4`=1259.25

Or (36+`1/2`)((34+`1/2`)
(36x34)+(36x`1/2`)+(34x`1/2`)+(`1/2`x`1/2`)=1259.25

Answer 2

`1259 1/4`

Explanation:

To multiply `color(blue)"mixed numbers"`

• Change them to improper fractions.

•Cancel if possible and simplify.

`36 1/2=((2xx36+1))/2=73/2larr" improper fraction"`

and `34 1/2=((2xx34+1))/2=69/2larr" improper fraction"`

Calculation now becomes.

`73/2xx69/2larr" there is no cancelling"`

To complete, multiply values on numerators and denominators.

`73/2xx69/2=(73xx69)/(2xx2)=5037/4`

`rArr5037/4=1259 1/4larr" divide 5037 by 4"`