Solve 0.74*1*1.3*0.4*3.75+3.3/20.6

$$0.74 \cdot 1 \cdot 1.3 \cdot 0.4 \times \frac{ 3.75+3.3 }{ 2 } 0.6$$

Evaluate

$$0.813852$$

Solution Steps

Multiply 0.74 and 1 to get 0.74.

$$0.74\times 1.3\times 0.4\times \frac{3.75+3.3}{2}\times 0.6$$

Multiply 0.74 and 1.3 to get 0.962.

$$0.962\times 0.4\times \frac{3.75+3.3}{2}\times 0.6$$

Multiply 0.962 and 0.4 to get 0.3848.

$$0.3848\times \frac{3.75+3.3}{2}\times 0.6$$

Add 3.75 and 3.3 to get 7.05.

$$0.3848\times \frac{7.05}{2}\times 0.6$$

Expand \frac{7.05}{2} by multiplying both numerator and the denominator by 100.

$$0.3848\times \frac{705}{200}\times 0.6$$

Reduce the fraction \frac{705}{200} to lowest terms by extracting and canceling out 5.

$$0.3848\times \frac{141}{40}\times 0.6$$

Convert decimal number 0.3848 to fraction \frac{3848}{10000}. Reduce the fraction \frac{3848}{10000} to lowest terms by extracting and canceling out 8.

$$\frac{481}{1250}\times \frac{141}{40}\times 0.6$$

Multiply \frac{481}{1250} times \frac{141}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{481\times 141}{1250\times 40}\times 0.6$$

Do the multiplications in the fraction \frac{481\times 141}{1250\times 40}.

$$\frac{67821}{50000}\times 0.6$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{67821}{50000}\times \frac{3}{5}$$

Multiply \frac{67821}{50000} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{67821\times 3}{50000\times 5}$$

Do the multiplications in the fraction \frac{67821\times 3}{50000\times 5}.

$$\frac{203463}{250000}$$

Factor

$$\frac{13 \cdot 37 \cdot 47 \cdot 3 ^ {2}}{2 ^ {4} \cdot 5 ^ {6}} = 0.813852$$