Question

How do you evaluate `9.00\div 1\frac{2}{3}`?

Answer 1

`5.4`

Explanation:

The first thing to do is express `1 2/3` as an `color(blue)"improper fraction"`

`rArr1 2/3=5/3`

The calculation can be expressed as `9÷5/3" or " 9/1÷5/3`

The method for `color(blue)"division of fractions"` is.

• Leave the first fraction

• Change division to multiplication

• Invert ( turn upside down) the second fraction

• Cancel any common factors if possible

`rArr9÷5/3=9/1xx3/5larr" multiply and invert"`

There are no common factors that can be `color(blue)"cancelled"`

`" We have then " (9xx3)/(1xx5)=27/5`

If you are fine with division by 5 then 27 ÷ 5 = 5.4

Otherwise multiply numerator/denominator by 2 which gives division by 10.

`rArr27/5=(27xx2)/(5xx2)=54/10=5.4`