Solve 107/360*2*3.16*6cm

$$\frac{ 107 }{ 360 } \times 2 \times 3.16 \times 6cm$$

Evaluate

$$\frac{8453cm}{750}$$

Solution Steps

Express \frac{107}{360}\times 2 as a single fraction.

$$\frac{107\times 2}{360}\times 3.16\times 6cm$$

Multiply 107 and 2 to get 214.

$$\frac{214}{360}\times 3.16\times 6cm$$

Reduce the fraction \frac{214}{360} to lowest terms by extracting and canceling out 2.

$$\frac{107}{180}\times 3.16\times 6cm$$

Convert decimal number 3.16 to fraction \frac{316}{100}. Reduce the fraction \frac{316}{100} to lowest terms by extracting and canceling out 4.

$$\frac{107}{180}\times \frac{79}{25}\times 6cm$$

Multiply \frac{107}{180} times \frac{79}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{107\times 79}{180\times 25}\times 6cm$$

Do the multiplications in the fraction \frac{107\times 79}{180\times 25}.

$$\frac{8453}{4500}\times 6cm$$

Express \frac{8453}{4500}\times 6 as a single fraction.

$$\frac{8453\times 6}{4500}cm$$

Multiply 8453 and 6 to get 50718.

$$\frac{50718}{4500}cm$$

Reduce the fraction \frac{50718}{4500} to lowest terms by extracting and canceling out 6.

$$\frac{8453}{750}cm$$

Differentiate w.r.t. c

$$\frac{8453m}{750}$$