Solve 0.42/(0.7*0.6)+(0.3*0.6)

$$\frac{ 0.42 }{ (0.7 \times 0.6)+(0.3 \times 0.6) }$$

Evaluate

$$0.7$$

Solution Steps

Multiply 0.7 and 0.6 to get 0.42.

$$\frac{0.42}{0.42+0.3\times 0.6}$$

Multiply 0.3 and 0.6 to get 0.18.

$$\frac{0.42}{0.42+0.18}$$

Add 0.42 and 0.18 to get 0.6.

$$\frac{0.42}{0.6}$$

Expand \frac{0.42}{0.6} by multiplying both numerator and the denominator by 100.

$$\frac{42}{60}$$

Reduce the fraction \frac{42}{60} to lowest terms by extracting and canceling out 6.

$$\frac{7}{10}$$

Factor

$$\frac{7}{2 \cdot 5} = 0.7$$