Solve 1*2*3+2*4*6+3*6*9+4*8*12+5*10*15/1*3*5+2*6*10+3*9*15+4*12*20+5*15*25=

$$\frac { 1 \times 2 \times 3 + 2 \times 4 \times 6 + 3 \times 6 \times 9 + 4 \times 8 \times 12 + 5 \times 10 \times 15 } { 1 \times 3 \times 5 + 2 \times 6 \times 10 + 3 \times 9 \times 15 + 4 \times 12 \times 20 + 5 \times 15 \times 25 } =$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Multiply 1 and 2 to get 2. Multiply 2 and 4 to get 8. Multiply 3 and 6 to get 18. Multiply 4 and 8 to get 32. Multiply 5 and 10 to get 50.

$$\frac{2\times 3+8\times 6+18\times 9+32\times 12+50\times 15}{1\times 3\times 5+2\times 6\times 10+3\times 9\times 15+4\times 12\times 20+5\times 15\times 25}$$

Multiply 2 and 3 to get 6.

$$\frac{6+8\times 6+18\times 9+32\times 12+50\times 15}{1\times 3\times 5+2\times 6\times 10+3\times 9\times 15+4\times 12\times 20+5\times 15\times 25}$$

Multiply 8 and 6 to get 48.

$$\frac{6+48+18\times 9+32\times 12+50\times 15}{1\times 3\times 5+2\times 6\times 10+3\times 9\times 15+4\times 12\times 20+5\times 15\times 25}$$

Add 6 and 48 to get 54.

$$\frac{54+18\times 9+32\times 12+50\times 15}{1\times 3\times 5+2\times 6\times 10+3\times 9\times 15+4\times 12\times 20+5\times 15\times 25}$$

Multiply 18 and 9 to get 162.

$$\frac{54+162+32\times 12+50\times 15}{1\times 3\times 5+2\times 6\times 10+3\times 9\times 15+4\times 12\times 20+5\times 15\times 25}$$

Add 54 and 162 to get 216.

$$\frac{216+32\times 12+50\times 15}{1\times 3\times 5+2\times 6\times 10+3\times 9\times 15+4\times 12\times 20+5\times 15\times 25}$$

Multiply 32 and 12 to get 384.

$$\frac{216+384+50\times 15}{1\times 3\times 5+2\times 6\times 10+3\times 9\times 15+4\times 12\times 20+5\times 15\times 25}$$

Add 216 and 384 to get 600.

$$\frac{600+50\times 15}{1\times 3\times 5+2\times 6\times 10+3\times 9\times 15+4\times 12\times 20+5\times 15\times 25}$$

Multiply 50 and 15 to get 750.

$$\frac{600+750}{1\times 3\times 5+2\times 6\times 10+3\times 9\times 15+4\times 12\times 20+5\times 15\times 25}$$

Add 600 and 750 to get 1350.

$$\frac{1350}{1\times 3\times 5+2\times 6\times 10+3\times 9\times 15+4\times 12\times 20+5\times 15\times 25}$$

Multiply 1 and 3 to get 3. Multiply 2 and 6 to get 12. Multiply 3 and 9 to get 27. Multiply 4 and 12 to get 48. Multiply 5 and 15 to get 75.

$$\frac{1350}{3\times 5+12\times 10+27\times 15+48\times 20+75\times 25}$$

Multiply 3 and 5 to get 15.

$$\frac{1350}{15+12\times 10+27\times 15+48\times 20+75\times 25}$$

Multiply 12 and 10 to get 120.

$$\frac{1350}{15+120+27\times 15+48\times 20+75\times 25}$$

Add 15 and 120 to get 135.

$$\frac{1350}{135+27\times 15+48\times 20+75\times 25}$$

Multiply 27 and 15 to get 405.

$$\frac{1350}{135+405+48\times 20+75\times 25}$$

Add 135 and 405 to get 540.

$$\frac{1350}{540+48\times 20+75\times 25}$$

Multiply 48 and 20 to get 960.

$$\frac{1350}{540+960+75\times 25}$$

Add 540 and 960 to get 1500.

$$\frac{1350}{1500+75\times 25}$$

Multiply 75 and 25 to get 1875.

$$\frac{1350}{1500+1875}$$

Add 1500 and 1875 to get 3375.

$$\frac{1350}{3375}$$

Reduce the fraction \frac{1350}{3375} to lowest terms by extracting and canceling out 675.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$