How do you solve $4.4x = 26.4$ ?

Question

2300 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-18T09:56:08

$x=6$

Since $x$ is being multiplied by $4.4$ , we need to "undo" the multiplication in order to isolate $x$ .

Multiplication is is undone by division, so divide both sides by $4.4$ .

$(4.4x)/color(blue)4.4=26.4/color(blue)4.4$

$x=6$

Answer 2 · 2018-04-18T11:06:59

If it is the decimals that are giving you a problem do this.

$x=6$

Given: $4.4x=26.4$

Lets get rod of the decimals. Multiply both sides by 10 giving:

$44x=264$

Divide both sides by 44

$44/44xx x= 264/44$

$x=264/44$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
An informed guess approach for the division using approximation.

Consider $260/40$

$4xx5=20 <26 ?$
$4xx6=24 < 26?$
$4xx7=28 > 26$ so no good

Test:
$44xx6 = 264 larr" Spot on!"$

$x=(264-:44)/(44-:44)=6/1=6$

How do you solve 4.4x = 26.44.4x = 26.4?