Solve 1/2*(0.5*0.42*0.84+0.5*0.235*0.47)*120=

$$\frac { 1 } { 2 } \times ( 0.5 \times 0.42 \times 0.84 + 0.5 \times 0.235 \times 0.47 ) \times 120 =$$

Evaluate

$$13.8975$$

Solution Steps

Multiply 0.5 and 0.42 to get 0.21.

$$\frac{1}{2}\left(0.21\times 0.84+0.5\times 0.235\times 0.47\right)\times 120$$

Multiply 0.21 and 0.84 to get 0.1764.

$$\frac{1}{2}\left(0.1764+0.5\times 0.235\times 0.47\right)\times 120$$

Multiply 0.5 and 0.235 to get 0.1175.

$$\frac{1}{2}\left(0.1764+0.1175\times 0.47\right)\times 120$$

Multiply 0.1175 and 0.47 to get 0.055225.

$$\frac{1}{2}\left(0.1764+0.055225\right)\times 120$$

Add 0.1764 and 0.055225 to get 0.231625.

$$\frac{1}{2}\times 0.231625\times 120$$

Convert decimal number 0.231625 to fraction \frac{231625}{1000000}. Reduce the fraction \frac{231625}{1000000} to lowest terms by extracting and canceling out 125.

$$\frac{1}{2}\times \frac{1853}{8000}\times 120$$

Multiply \frac{1}{2} times \frac{1853}{8000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1853}{2\times 8000}\times 120$$

Do the multiplications in the fraction \frac{1\times 1853}{2\times 8000}.

$$\frac{1853}{16000}\times 120$$

Express \frac{1853}{16000}\times 120 as a single fraction.

$$\frac{1853\times 120}{16000}$$

Multiply 1853 and 120 to get 222360.

$$\frac{222360}{16000}$$

Reduce the fraction \frac{222360}{16000} to lowest terms by extracting and canceling out 40.

$$\frac{5559}{400}$$

Factor

$$\frac{3 \cdot 17 \cdot 109}{2 ^ {4} \cdot 5 ^ {2}} = 13\frac{359}{400} = 13.8975$$