Solve 4*2197*286+6*169*6084/frac{52*51*50*49*48*47{6*5*4*3*2}}

$$\frac{ 4 \times 2197 \times 286+6 \times 169 \times 6084 }{ \frac{ 52 \times 51 \times 50 \times 49 \times 48 \times 47 }{ 6 \times 5 \times 4 \times 3 \times 2 } }$$

Evaluate

$$\frac{83486}{195755}\approx 0.426482082$$

Solution Steps

Multiply 4 and 2197 to get 8788. Multiply 6 and 169 to get 1014.

$$\frac{8788\times 286+1014\times 6084}{\frac{52\times 51\times 50\times 49\times 48\times 47}{6\times 5\times 4\times 3\times 2}}$$

Multiply 8788 and 286 to get 2513368.

$$\frac{2513368+1014\times 6084}{\frac{52\times 51\times 50\times 49\times 48\times 47}{6\times 5\times 4\times 3\times 2}}$$

Multiply 1014 and 6084 to get 6169176.

$$\frac{2513368+6169176}{\frac{52\times 51\times 50\times 49\times 48\times 47}{6\times 5\times 4\times 3\times 2}}$$

Add 2513368 and 6169176 to get 8682544.

$$\frac{8682544}{\frac{52\times 51\times 50\times 49\times 48\times 47}{6\times 5\times 4\times 3\times 2}}$$

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

$$\frac{8682544}{5\times 8\times 13\times 17\times 47\times 49}$$

Multiply 5 and 8 to get 40.

$$\frac{8682544}{40\times 13\times 17\times 47\times 49}$$

Multiply 40 and 13 to get 520.

$$\frac{8682544}{520\times 17\times 47\times 49}$$

Multiply 520 and 17 to get 8840.

$$\frac{8682544}{8840\times 47\times 49}$$

Multiply 8840 and 47 to get 415480.

$$\frac{8682544}{415480\times 49}$$

Multiply 415480 and 49 to get 20358520.

$$\frac{8682544}{20358520}$$

Reduce the fraction \frac{8682544}{20358520} to lowest terms by extracting and canceling out 104.

$$\frac{83486}{195755}$$

Factor

$$\frac{2 \cdot 13 ^ {3} \cdot 19}{5 \cdot 7 ^ {2} \cdot 17 \cdot 47} = 0.42648208219457995$$