Solve 3div(0.75*0.5+1*0.4+1.5*0.1)

$$3 \div (0.75 \times 0.5+1 \times 0.4+1.5 \times 0.1)$$

Evaluate

$$\frac{120}{37}\approx 3.243243243$$

Solution Steps

Multiply 0.75 and 0.5 to get 0.375.

$$\frac{3}{0.375+1\times 0.4+1.5\times 0.1}$$

Multiply 1 and 0.4 to get 0.4.

$$\frac{3}{0.375+0.4+1.5\times 0.1}$$

Add 0.375 and 0.4 to get 0.775.

$$\frac{3}{0.775+1.5\times 0.1}$$

Multiply 1.5 and 0.1 to get 0.15.

$$\frac{3}{0.775+0.15}$$

Add 0.775 and 0.15 to get 0.925.

$$\frac{3}{0.925}$$

Expand \frac{3}{0.925} by multiplying both numerator and the denominator by 1000.

$$\frac{3000}{925}$$

Reduce the fraction \frac{3000}{925} to lowest terms by extracting and canceling out 25.

$$\frac{120}{37}$$

Factor

$$\frac{3 \cdot 5 \cdot 2 ^ {3}}{37} = 3\frac{9}{37} = 3.2432432432432434$$