Solve (2*22)+(3*38)+(4*55)+(5*65)+(6*7)-(5*4*5)/2^2+3^2+4^2+5^2+{6^2-5*5*5}

$$\frac{ (2 \times 22)+(3 \times 38)+(4 \times 55)+(5 \times 65)+(6 \times 7)-(5 \times 4 \times 5) }{ { 2 }^{ 2 } + { 3 }^{ 2 } + { 4 }^{ 2 } + { 5 }^{ 2 } + { 6 }^{ 2 } -5 \times 5 \times 5 }$$

Evaluate

$$-\frac{129}{7}\approx -18.428571429$$

Solution Steps

Multiply 2 and 22 to get 44. Multiply 3 and 38 to get 114. Multiply 4 and 55 to get 220. Multiply 5 and 65 to get 325. Multiply 6 and 7 to get 42.

$$\frac{44+114+220+325+42-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Add 44 and 114 to get 158.

$$\frac{158+220+325+42-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Add 158 and 220 to get 378.

$$\frac{378+325+42-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Add 378 and 325 to get 703.

$$\frac{703+42-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Add 703 and 42 to get 745.

$$\frac{745-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Multiply 5 and 4 to get 20.

$$\frac{745-20\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Multiply 20 and 5 to get 100.

$$\frac{745-100}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Subtract 100 from 745 to get 645.

$$\frac{645}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{645}{4+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{645}{4+9+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Add 4 and 9 to get 13.

$$\frac{645}{13+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{645}{13+16+5^{2}+6^{2}-5\times 5\times 5}$$

Add 13 and 16 to get 29.

$$\frac{645}{29+5^{2}+6^{2}-5\times 5\times 5}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{645}{29+25+6^{2}-5\times 5\times 5}$$

Add 29 and 25 to get 54.

$$\frac{645}{54+6^{2}-5\times 5\times 5}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{645}{54+36-5\times 5\times 5}$$

Add 54 and 36 to get 90.

$$\frac{645}{90-5\times 5\times 5}$$

Multiply 5 and 5 to get 25.

$$\frac{645}{90-25\times 5}$$

Multiply 25 and 5 to get 125.

$$\frac{645}{90-125}$$

Subtract 125 from 90 to get -35.

$$\frac{645}{-35}$$

Reduce the fraction \frac{645}{-35} to lowest terms by extracting and canceling out 5.

$$-\frac{129}{7}$$

Factor

$$-\frac{129}{7} = -18\frac{3}{7} = -18.428571428571427$$