Solve 1-(1+0.0537/12)(-12(3)

$$1-(1+ \frac{ 0.0537 }{ 12 } )(-12(3)$$

Evaluate

$$37.1611$$

Solution Steps

Expand \frac{0.0537}{12} by multiplying both numerator and the denominator by 10000.

$$1-\left(1+\frac{537}{120000}\right)\left(-12\right)\times 3$$

Reduce the fraction \frac{537}{120000} to lowest terms by extracting and canceling out 3.

$$1-\left(1+\frac{179}{40000}\right)\left(-12\right)\times 3$$

Convert 1 to fraction \frac{40000}{40000}.

$$1-\left(\frac{40000}{40000}+\frac{179}{40000}\right)\left(-12\right)\times 3$$

Since \frac{40000}{40000} and \frac{179}{40000} have the same denominator, add them by adding their numerators.

$$1-\frac{40000+179}{40000}\left(-12\right)\times 3$$

Add 40000 and 179 to get 40179.

$$1-\frac{40179}{40000}\left(-12\right)\times 3$$

Express \frac{40179}{40000}\left(-12\right) as a single fraction.

$$1-\frac{40179\left(-12\right)}{40000}\times 3$$

Multiply 40179 and -12 to get -482148.

$$1-\frac{-482148}{40000}\times 3$$

Reduce the fraction \frac{-482148}{40000} to lowest terms by extracting and canceling out 4.

$$1-\left(-\frac{120537}{10000}\times 3\right)$$

Express -\frac{120537}{10000}\times 3 as a single fraction.

$$1-\frac{-120537\times 3}{10000}$$

Multiply -120537 and 3 to get -361611.

$$1-\frac{-361611}{10000}$$

Fraction \frac{-361611}{10000} can be rewritten as -\frac{361611}{10000} by extracting the negative sign.

$$1-\left(-\frac{361611}{10000}\right)$$

The opposite of -\frac{361611}{10000} is \frac{361611}{10000}.

$$1+\frac{361611}{10000}$$

Convert 1 to fraction \frac{10000}{10000}.

$$\frac{10000}{10000}+\frac{361611}{10000}$$

Since \frac{10000}{10000} and \frac{361611}{10000} have the same denominator, add them by adding their numerators.

$$\frac{10000+361611}{10000}$$

Add 10000 and 361611 to get 371611.

$$\frac{371611}{10000}$$

Factor

$$\frac{23 \cdot 107 \cdot 151}{2 ^ {4} \cdot 5 ^ {4}} = 37\frac{1611}{10000} = 37.1611$$