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# 12.5% / (3/4 - 5/6)^2

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12.5% / (3/4 - 5/6)^2

The things between the brackets are fractions btw

Jan 8, 2015

#1
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Percent means "per hundred": 12,5% = 12,5/100 = 0,125.

In order to subtract (-) one fraction from another, you need to find a common denominator (bottom). This is done by multiplying (*) the numerator and the denominator in a fraction by the same number:

$$\frac{3}{4}-\frac{5}{6}=\frac{3*3}{4*3}-\frac{5*2}{6*2}=\frac{9}{12}-\frac{10}{12}=-\frac{1}{12}$$

So we get:

$$\frac{0,125}{(-1/12)^{2}}$$

When to fractions are multiplied together, one multiplies the numerator by numerator and denominator by denominator:

$$(-\frac{1}{12})^{2}=(\frac{1}{12})^{2}=\frac{1}{144}$$

So we get:

$$\frac{0,125}{1/144}$$

Multiply the numerator and the denominator by 144:

$$\frac{0,125*144}{1}= 0,125*144$$

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Jan 8, 2015

#1
+5

Percent means "per hundred": 12,5% = 12,5/100 = 0,125.

In order to subtract (-) one fraction from another, you need to find a common denominator (bottom). This is done by multiplying (*) the numerator and the denominator in a fraction by the same number:

$$\frac{3}{4}-\frac{5}{6}=\frac{3*3}{4*3}-\frac{5*2}{6*2}=\frac{9}{12}-\frac{10}{12}=-\frac{1}{12}$$

So we get:

$$\frac{0,125}{(-1/12)^{2}}$$

When to fractions are multiplied together, one multiplies the numerator by numerator and denominator by denominator:

$$(-\frac{1}{12})^{2}=(\frac{1}{12})^{2}=\frac{1}{144}$$

So we get:

$$\frac{0,125}{1/144}$$

Multiply the numerator and the denominator by 144:

$$\frac{0,125*144}{1}= 0,125*144$$

Tetration Jan 8, 2015