Write a fraction equal to 3/4 that has a denominator of 12

Mathematics

2 answers:

balandron [24]3 years ago

8 0

Answer: 9/12

Step-by-step explanation:

Daniel [21]3 years ago

3 0

9/12 because you need to multiply 4 to get the product of 12 and you need to do the same thing with 9 therefore 9/12

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Ivahew [28]

ANSWER

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or

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We have

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Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

$3x^2-4x=2$

Dividing through by 3 gives

$x^2-\frac{4}{3}x= \frac{2}{3}$

Adding $(-\frac{2}{3})^2$ to both sides gives

$x^2-\frac{4}{3}x+(-\frac{2}{3})^2= \frac{2}{3}+(-\frac{2}{3})^2$

The expression on the Left Hand side is a perfect square.

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Splitting the plus or minus sign gives

$x=\frac{2- \sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

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