Solve 87*3+72*3.5+96*1.5+87*1.5+85*2+95*3+76*4+88*1+88*3+74*2.5+84*0.5+97*0.25+90*2/27.75

$$\frac{ 87 \cdot 3+72 \cdot 3.5+96 \cdot 1.5+87 \cdot 1.5+85 \cdot 2+95 \cdot 3+76 \cdot 4+88 \cdot 1+88 \cdot 3+74 \cdot 2.5+84 \cdot 0.5+97 \cdot 0.25+90 \cdot 2 }{ 27.75 }$$

Evaluate

$$\frac{9319}{111}\approx 83.954954955$$

Solution Steps

Multiply 87 and 3 to get 261. Multiply 85 and 2 to get 170. Multiply 95 and 3 to get 285. Multiply 76 and 4 to get 304. Multiply 88 and 1 to get 88. Multiply 88 and 3 to get 264. Multiply 90 and 2 to get 180.

$$\frac{261+72\times 3.5+96\times 1.5+87\times 1.5+170+285+304+88+264+74\times 2.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Multiply 72 and 3.5 to get 252.

$$\frac{261+252+96\times 1.5+87\times 1.5+170+285+304+88+264+74\times 2.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Add 261 and 252 to get 513.

$$\frac{513+96\times 1.5+87\times 1.5+170+285+304+88+264+74\times 2.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Multiply 96 and 1.5 to get 144.

$$\frac{513+144+87\times 1.5+170+285+304+88+264+74\times 2.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Add 513 and 144 to get 657.

$$\frac{657+87\times 1.5+170+285+304+88+264+74\times 2.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Multiply 87 and 1.5 to get 130.5.

$$\frac{657+130.5+170+285+304+88+264+74\times 2.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Add 657 and 130.5 to get 787.5.

$$\frac{787.5+170+285+304+88+264+74\times 2.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Add 787.5 and 170 to get 957.5.

$$\frac{957.5+285+304+88+264+74\times 2.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Add 957.5 and 285 to get 1242.5.

$$\frac{1242.5+304+88+264+74\times 2.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Add 1242.5 and 304 to get 1546.5.

$$\frac{1546.5+88+264+74\times 2.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Add 1546.5 and 88 to get 1634.5.

$$\frac{1634.5+264+74\times 2.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Add 1634.5 and 264 to get 1898.5.

$$\frac{1898.5+74\times 2.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Multiply 74 and 2.5 to get 185.

$$\frac{1898.5+185+84\times 0.5+97\times 0.25+180}{27.75}$$

Add 1898.5 and 185 to get 2083.5.

$$\frac{2083.5+84\times 0.5+97\times 0.25+180}{27.75}$$

Multiply 84 and 0.5 to get 42.

$$\frac{2083.5+42+97\times 0.25+180}{27.75}$$

Add 2083.5 and 42 to get 2125.5.

$$\frac{2125.5+97\times 0.25+180}{27.75}$$

Multiply 97 and 0.25 to get 24.25.

$$\frac{2125.5+24.25+180}{27.75}$$

Add 2125.5 and 24.25 to get 2149.75.

$$\frac{2149.75+180}{27.75}$$

Add 2149.75 and 180 to get 2329.75.

$$\frac{2329.75}{27.75}$$

Expand \frac{2329.75}{27.75} by multiplying both numerator and the denominator by 100.

$$\frac{232975}{2775}$$

Reduce the fraction \frac{232975}{2775} to lowest terms by extracting and canceling out 25.

$$\frac{9319}{111}$$

Factor

$$\frac{9319}{3 \cdot 37} = 83\frac{106}{111} = 83.95495495495496$$