Solve 3div0.001+18div0.005+99div0.05+180div0.1+270div1+150div0.1+180div1

$$3 \div 0.001+18 \div 0.005+99 \div 0.05+180 \div 0.1+270 \div 1+150 \div 0.1+180 \div 1$$

Evaluate

$$12330$$

Solution Steps

Expand \frac{3}{0.001} by multiplying both numerator and the denominator by 1000. Anything divided by one gives itself.

$$3000+\frac{18}{0.005}+\frac{99}{0.05}+\frac{180}{0.1}+\frac{270}{1}+\frac{150}{0.1}+\frac{180}{1}$$

Expand \frac{18}{0.005} by multiplying both numerator and the denominator by 1000.

$$3000+\frac{18000}{5}+\frac{99}{0.05}+\frac{180}{0.1}+\frac{270}{1}+\frac{150}{0.1}+\frac{180}{1}$$

Divide 18000 by 5 to get 3600.

$$3000+3600+\frac{99}{0.05}+\frac{180}{0.1}+\frac{270}{1}+\frac{150}{0.1}+\frac{180}{1}$$

Add 3000 and 3600 to get 6600.

$$6600+\frac{99}{0.05}+\frac{180}{0.1}+\frac{270}{1}+\frac{150}{0.1}+\frac{180}{1}$$

Expand \frac{99}{0.05} by multiplying both numerator and the denominator by 100.

$$6600+\frac{9900}{5}+\frac{180}{0.1}+\frac{270}{1}+\frac{150}{0.1}+\frac{180}{1}$$

Divide 9900 by 5 to get 1980.

$$6600+1980+\frac{180}{0.1}+\frac{270}{1}+\frac{150}{0.1}+\frac{180}{1}$$

Add 6600 and 1980 to get 8580.

$$8580+\frac{180}{0.1}+\frac{270}{1}+\frac{150}{0.1}+\frac{180}{1}$$

Expand \frac{180}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$8580+1800+\frac{270}{1}+\frac{150}{0.1}+\frac{180}{1}$$

Add 8580 and 1800 to get 10380.

$$10380+\frac{270}{1}+\frac{150}{0.1}+\frac{180}{1}$$

Anything divided by one gives itself.

$$10380+270+\frac{150}{0.1}+\frac{180}{1}$$

Add 10380 and 270 to get 10650.

$$10650+\frac{150}{0.1}+\frac{180}{1}$$

Expand \frac{150}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$10650+1500+\frac{180}{1}$$

Add 10650 and 1500 to get 12150.

$$12150+\frac{180}{1}$$

Anything divided by one gives itself.

$$12150+180$$

Add 12150 and 180 to get 12330.

$$12330$$

Factor

$$2\times 5\times 137\times 3^{2}$$