Solve 1-(1+(6%/4))^-1

$$1 - ( 1 + ( 6 \% / 4 ) ) ^ { - 1 }$$

Evaluate

$$\frac{3}{203}\approx 0.014778325$$

Solution Steps

Express \frac{\frac{6}{100}}{4} as a single fraction.

$$1-\left(1+\frac{6}{100\times 4}\right)^{-1}$$

Multiply 100 and 4 to get 400.

$$1-\left(1+\frac{6}{400}\right)^{-1}$$

Reduce the fraction \frac{6}{400} to lowest terms by extracting and canceling out 2.

$$1-\left(1+\frac{3}{200}\right)^{-1}$$

Add 1 and \frac{3}{200} to get \frac{203}{200}.

$$1-\left(\frac{203}{200}\right)^{-1}$$

Calculate \frac{203}{200} to the power of -1 and get \frac{200}{203}.

$$1-\frac{200}{203}$$

Subtract \frac{200}{203} from 1 to get \frac{3}{203}.

$$\frac{3}{203}$$

Factor

$$\frac{3}{7 \cdot 29} = 0.014778325123152709$$