Question

How do you evaluate `5\frac { 2} { 3} \times \frac { - 3} { 10}`?

Answer 1

`-17/10`

Explanation:

`17/3 xx -3/10`
`(17/3)xx10` and `(-3/10)xx3`
`170/30 xx -9/30`
`-17/10`

Answer 2

`-17/10=-1 7/10`

Explanation:

`• " note that "(+)xx(-)=-`

`"change "5 2/3" to an improper fraction"`

`"that is "5 2/3=17/3`

`"multiply the fractions "color(blue)"cancelling"` any common factors on the numerators and denominators.

`rArr5 2/3xx-3/10`

`=17/cancel(3)^1xx-cancel(3)^1/10`

`=-(17xx1)/(1xx10)`

`=-17/10=-1 7/10`