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# When solving an equation using the distributive property, if the numbers being distributed are fractions, what is your first step? Why?

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When solving an equation using the distributive property, if the numbers being distributed are fractions, what is your first step? Why?

Mar 28, 2016

#1
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Two things you can do:

One. You can distribute the fraction just like it is a whole number

Two. You can multiply the numerator to both sides to turn the fraction into a whole number then distribute the whole number.

Example One:

$$\frac{1}{2}\times(2x+3)=10$$

$$1x+1.5=10$$

$$x+1.5=10$$

$$x=8.5$$

Example Two:

$$\frac{1}{2}\times(2x+3)=10$$

$$1\times(2x+3)=20$$

$$2x+3=20$$

$$2x=17$$

$$x=8.5$$

Mar 28, 2016

#1
+1904
+10

Two things you can do:

One. You can distribute the fraction just like it is a whole number

Two. You can multiply the numerator to both sides to turn the fraction into a whole number then distribute the whole number.

Example One:

$$\frac{1}{2}\times(2x+3)=10$$

$$1x+1.5=10$$

$$x+1.5=10$$

$$x=8.5$$

Example Two:

$$\frac{1}{2}\times(2x+3)=10$$

$$1\times(2x+3)=20$$

$$2x+3=20$$

$$2x=17$$

$$x=8.5$$

gibsonj338 Mar 28, 2016