Solve (2*2.2)+(3*3.8)+(4*5.5)+(5*6.5)+(6*7)-(5*4*5)/2^2+3^2+4^2+5^2+{6^2-5*5*5}

$$\frac{ (2 \times 2.2)+(3 \times 3.8)+(4 \times 5.5)+(5 \times 6.5)+(6 \times 7)-(5 \times 4 \times 5) }{ { 2 }^{ 2 } + { 3 }^{ 2 } + { 4 }^{ 2 } + { 5 }^{ 2 } + { 6 }^{ 2 } -5 \times 5 \times 5 }$$

Evaluate

$$-\frac{123}{350}\approx -0.351428571$$

Solution Steps

Multiply 2 and 2.2 to get 4.4.

$$\frac{4.4+3\times 3.8+4\times 5.5+5\times 6.5+6\times 7-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Multiply 3 and 3.8 to get 11.4.

$$\frac{4.4+11.4+4\times 5.5+5\times 6.5+6\times 7-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Add 4.4 and 11.4 to get 15.8.

$$\frac{15.8+4\times 5.5+5\times 6.5+6\times 7-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Multiply 4 and 5.5 to get 22.

$$\frac{15.8+22+5\times 6.5+6\times 7-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Add 15.8 and 22 to get 37.8.

$$\frac{37.8+5\times 6.5+6\times 7-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Multiply 5 and 6.5 to get 32.5.

$$\frac{37.8+32.5+6\times 7-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Add 37.8 and 32.5 to get 70.3.

$$\frac{70.3+6\times 7-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Multiply 6 and 7 to get 42.

$$\frac{70.3+42-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Add 70.3 and 42 to get 112.3.

$$\frac{112.3-5\times 4\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Multiply 5 and 4 to get 20.

$$\frac{112.3-20\times 5}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Multiply 20 and 5 to get 100.

$$\frac{112.3-100}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Subtract 100 from 112.3 to get 12.3.

$$\frac{12.3}{2^{2}+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{12.3}{4+3^{2}+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{12.3}{4+9+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Add 4 and 9 to get 13.

$$\frac{12.3}{13+4^{2}+5^{2}+6^{2}-5\times 5\times 5}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{12.3}{13+16+5^{2}+6^{2}-5\times 5\times 5}$$

Add 13 and 16 to get 29.

$$\frac{12.3}{29+5^{2}+6^{2}-5\times 5\times 5}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{12.3}{29+25+6^{2}-5\times 5\times 5}$$

Add 29 and 25 to get 54.

$$\frac{12.3}{54+6^{2}-5\times 5\times 5}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{12.3}{54+36-5\times 5\times 5}$$

Add 54 and 36 to get 90.

$$\frac{12.3}{90-5\times 5\times 5}$$

Multiply 5 and 5 to get 25.

$$\frac{12.3}{90-25\times 5}$$

Multiply 25 and 5 to get 125.

$$\frac{12.3}{90-125}$$

Subtract 125 from 90 to get -35.

$$\frac{12.3}{-35}$$

Expand \frac{12.3}{-35} by multiplying both numerator and the denominator by 10.

$$\frac{123}{-350}$$

Fraction \frac{123}{-350} can be rewritten as -\frac{123}{350} by extracting the negative sign.

$$-\frac{123}{350}$$

Factor

$$-\frac{123}{350} = -0.3514285714285714$$