Solve 37*36*35/3*2*1*3/frac{40*39*38*37*36{5*4*3*2*1}}

$$\frac { \frac { 37 \times 36 \times 35 } { 3 \times 2 \times 1 } \times 3 } { \frac { 40 \times 39 \times 38 \times 37 \times 36 } { 5 \times 4 \times 3 \times 2 \times 1 } }$$

Evaluate

$$\frac{35}{988}\approx 0.035425101$$

Solution Steps

Cancel out 2\times 3 in both numerator and denominator.

$$\frac{6\times 35\times 37\times 3}{\frac{40\times 39\times 38\times 37\times 36}{5\times 4\times 3\times 2\times 1}}$$

Multiply 6 and 35 to get 210.

$$\frac{210\times 37\times 3}{\frac{40\times 39\times 38\times 37\times 36}{5\times 4\times 3\times 2\times 1}}$$

Multiply 210 and 37 to get 7770.

$$\frac{7770\times 3}{\frac{40\times 39\times 38\times 37\times 36}{5\times 4\times 3\times 2\times 1}}$$

Multiply 7770 and 3 to get 23310.

$$\frac{23310}{\frac{40\times 39\times 38\times 37\times 36}{5\times 4\times 3\times 2\times 1}}$$

Cancel out 2\times 3\times 4\times 5 in both numerator and denominator.

$$\frac{23310}{13\times 36\times 37\times 38}$$

Multiply 13 and 36 to get 468.

$$\frac{23310}{468\times 37\times 38}$$

Multiply 468 and 37 to get 17316.

$$\frac{23310}{17316\times 38}$$

Multiply 17316 and 38 to get 658008.

$$\frac{23310}{658008}$$

Reduce the fraction \frac{23310}{658008} to lowest terms by extracting and canceling out 666.

$$\frac{35}{988}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 13 \cdot 19} = 0.0354251012145749$$