Question

What is 4 1/2 x 6=? Simplify is possible.

Answer 1

Hi there!

To solve a fractional equation such as this you need to turn both factors into fractions. Here is how to sole it:

1) Turn 4
`(1)/(2)` into an improper fraction by taking the 4 and multiplying it by the 2 in the denominator and putting the result in the numerator plus the 1 that is already there.

4×2 = 8

8+1 = 9

Now makes
`(9)/(2)`

2) Now make 6 a fraction by putting it over 1, like so:

`(6)/(1)`

3) Now multiply the numerators together first, then multiply the denominators together, like so:

`(9*6)/(2*1)` =
`(54)/(2)`

4) Now simplify by dividing 54 by 2 to get the final result:

54÷2 = 27

Your friend, ASIAX

Answer 2

`4(1)/(2)\cdot6=(4\cdot2+1)/(2)\cdot6=(9)/(\\ot2_1)\cdot\\ot6^3=9\cdot3=27`

Other method:

`4(1)/(2)\cdot6=\left(4+(1)/(2)\right)\cdot6\\\\\text{use distributive property}\\\\=(4)(6)+\left((1)/(2)\right)(6)=24+3=27`