Solve .88*0.02/.88*0.02+0.01*.98

$$\frac { .88 \times 0.02 } { .88 \times 0.02 + 0.01 \times .98 }$$

Evaluate

$$\frac{88}{137}\approx 0.642335766$$

Solution Steps

Multiply 0.88 and 0.02 to get 0.0176.

$$\frac{0.0176}{0.88\times 0.02+0.01\times 0.98}$$

Multiply 0.88 and 0.02 to get 0.0176.

$$\frac{0.0176}{0.0176+0.01\times 0.98}$$

Multiply 0.01 and 0.98 to get 0.0098.

$$\frac{0.0176}{0.0176+0.0098}$$

Add 0.0176 and 0.0098 to get 0.0274.

$$\frac{0.0176}{0.0274}$$

Expand \frac{0.0176}{0.0274} by multiplying both numerator and the denominator by 10000.

$$\frac{176}{274}$$

Reduce the fraction \frac{176}{274} to lowest terms by extracting and canceling out 2.

$$\frac{88}{137}$$

Factor

$$\frac{11 \cdot 2 ^ {3}}{137} = 0.6423357664233577$$