Solve 31div4+(7+5)*2-3+4+6+9*2-3

$$31 \div 4 + ( 7 + 5 ) \times 2 - 3 + 4 + 6 + 9 \times 2 - 3$$

Evaluate

$$\frac{215}{4}=53.75$$

Solution Steps

Add 7 and 5 to get 12.

$$\frac{31}{4}+12\times 2-3+4+6+9\times 2-3$$

Multiply 12 and 2 to get 24.

$$\frac{31}{4}+24-3+4+6+9\times 2-3$$

Convert 24 to fraction \frac{96}{4}.

$$\frac{31}{4}+\frac{96}{4}-3+4+6+9\times 2-3$$

Since \frac{31}{4} and \frac{96}{4} have the same denominator, add them by adding their numerators.

$$\frac{31+96}{4}-3+4+6+9\times 2-3$$

Add 31 and 96 to get 127.

$$\frac{127}{4}-3+4+6+9\times 2-3$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{127}{4}-\frac{12}{4}+4+6+9\times 2-3$$

Since \frac{127}{4} and \frac{12}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{127-12}{4}+4+6+9\times 2-3$$

Subtract 12 from 127 to get 115.

$$\frac{115}{4}+4+6+9\times 2-3$$

Convert 4 to fraction \frac{16}{4}.

$$\frac{115}{4}+\frac{16}{4}+6+9\times 2-3$$

Since \frac{115}{4} and \frac{16}{4} have the same denominator, add them by adding their numerators.

$$\frac{115+16}{4}+6+9\times 2-3$$

Add 115 and 16 to get 131.

$$\frac{131}{4}+6+9\times 2-3$$

Convert 6 to fraction \frac{24}{4}.

$$\frac{131}{4}+\frac{24}{4}+9\times 2-3$$

Since \frac{131}{4} and \frac{24}{4} have the same denominator, add them by adding their numerators.

$$\frac{131+24}{4}+9\times 2-3$$

Add 131 and 24 to get 155.

$$\frac{155}{4}+9\times 2-3$$

Multiply 9 and 2 to get 18.

$$\frac{155}{4}+18-3$$

Convert 18 to fraction \frac{72}{4}.

$$\frac{155}{4}+\frac{72}{4}-3$$

Since \frac{155}{4} and \frac{72}{4} have the same denominator, add them by adding their numerators.

$$\frac{155+72}{4}-3$$

Add 155 and 72 to get 227.

$$\frac{227}{4}-3$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{227}{4}-\frac{12}{4}$$

Since \frac{227}{4} and \frac{12}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{227-12}{4}$$

Subtract 12 from 227 to get 215.

$$\frac{215}{4}$$

Factor

$$\frac{5 \cdot 43}{2 ^ {2}} = 53\frac{3}{4} = 53.75$$