Solve (10*60.05+23*80.05+38*100.05+26*135.05+14*175.05+7*225.05)div118=

$$(10 \cdot 60.05+23 \cdot 80.05+38 \cdot 100.05+26 \cdot 135.05+14 \cdot 175.05+7 \cdot 225.05) \div 118=$$

Evaluate

$$\frac{137809}{1180}\approx 116.787288136$$

Solution Steps

Multiply 10 and 60.05 to get 600.5.

$$\frac{600.5+23\times 80.05+38\times 100.05+26\times 135.05+14\times 175.05+7\times 225.05}{118}$$

Multiply 23 and 80.05 to get 1841.15.

$$\frac{600.5+1841.15+38\times 100.05+26\times 135.05+14\times 175.05+7\times 225.05}{118}$$

Add 600.5 and 1841.15 to get 2441.65.

$$\frac{2441.65+38\times 100.05+26\times 135.05+14\times 175.05+7\times 225.05}{118}$$

Multiply 38 and 100.05 to get 3801.9.

$$\frac{2441.65+3801.9+26\times 135.05+14\times 175.05+7\times 225.05}{118}$$

Add 2441.65 and 3801.9 to get 6243.55.

$$\frac{6243.55+26\times 135.05+14\times 175.05+7\times 225.05}{118}$$

Multiply 26 and 135.05 to get 3511.3.

$$\frac{6243.55+3511.3+14\times 175.05+7\times 225.05}{118}$$

Add 6243.55 and 3511.3 to get 9754.85.

$$\frac{9754.85+14\times 175.05+7\times 225.05}{118}$$

Multiply 14 and 175.05 to get 2450.7.

$$\frac{9754.85+2450.7+7\times 225.05}{118}$$

Add 9754.85 and 2450.7 to get 12205.55.

$$\frac{12205.55+7\times 225.05}{118}$$

Multiply 7 and 225.05 to get 1575.35.

$$\frac{12205.55+1575.35}{118}$$

Add 12205.55 and 1575.35 to get 13780.9.

$$\frac{13780.9}{118}$$

Expand \frac{13780.9}{118} by multiplying both numerator and the denominator by 10.

$$\frac{137809}{1180}$$

Factor

$$\frac{7 \cdot 19687}{5 \cdot 59 \cdot 2 ^ {2}} = 116\frac{929}{1180} = 116.78728813559322$$