Solve (1+0.03/4)^4-1/12

$$\frac { ( 1 + \frac { 0.03 } { 4 } ) ^ { 4 } - 1 } { 12 }$$

Evaluate

$$0.002528265888671875$$

Solution Steps

Expand \frac{0.03}{4} by multiplying both numerator and the denominator by 100.

$$\frac{\left(1+\frac{3}{400}\right)^{4}-1}{12}$$

Add 1 and \frac{3}{400} to get \frac{403}{400}.

$$\frac{\left(\frac{403}{400}\right)^{4}-1}{12}$$

Calculate \frac{403}{400} to the power of 4 and get \frac{26376683281}{25600000000}.

$$\frac{\frac{26376683281}{25600000000}-1}{12}$$

Subtract 1 from \frac{26376683281}{25600000000} to get \frac{776683281}{25600000000}.

$$\frac{\frac{776683281}{25600000000}}{12}$$

Express \frac{\frac{776683281}{25600000000}}{12} as a single fraction.

$$\frac{776683281}{25600000000\times 12}$$

Multiply 25600000000 and 12 to get 307200000000.

$$\frac{776683281}{307200000000}$$

Reduce the fraction \frac{776683281}{307200000000} to lowest terms by extracting and canceling out 3.

$$\frac{258894427}{102400000000}$$

Factor

$$\frac{11 \cdot 73 \cdot 322409}{2 ^ {18} \cdot 5 ^ {8}} = 0.002528265888671875$$