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

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Answer 1 · 2018-04-18T09:56:08

$x = 6$ $x=6$

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

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

$\frac{4.4 x}{4.4} = \frac{26.4}{4.4}$ $(4.4x)/color(blue)4.4=26.4/color(blue)4.4$

$x = 6$ $x=6$

Answer 2 · 2018-04-18T11:06:59

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

$x = 6$ $x=6$

Given: $4.4 x = 26.4$ $4.4x=26.4$

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

$44 x = 264$ $44x=264$

Divide both sides by 44

$\frac{44}{44} \times x = \frac{264}{44}$ $44/44xx x= 264/44$

$x = \frac{264}{44}$ $x=264/44$
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An informed guess approach for the division using approximation.

Consider $\frac{260}{40}$ $260/40$

$4 \times 5 = 20 < 26 ?$ $4xx5=20 <26 ?$
$4 \times 6 = 24 < 26 ?$ $4xx6=24 < 26?$
$4 \times 7 = 28 > 26$ $4xx7=28 > 26$ so no good

Test:
$44 \times 6 = 264 \leftarrow Spot on!$ $44xx6 = 264 larr" Spot on!"$

$x = \frac{264 \div 44}{44 \div 44} = \frac{6}{1} = 6$ $x=(264-:44)/(44-:44)=6/1=6$

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