Solve 1500div1.09*0.09+300div1.09*0.09+106div1.06*0.06

$$1500 \div 1.09 \times 0.09+300 \div 1.09 \times 0.09+106 \div 1.06 \times 0.06$$

Evaluate

$$\frac{16854}{109}\approx 154.623853211$$

Solution Steps

Expand \frac{1500}{1.09} by multiplying both numerator and the denominator by 100.

$$\frac{150000}{109}\times 0.09+\frac{300}{1.09}\times 0.09+\frac{106}{1.06}\times 0.06$$

Convert decimal number 0.09 to fraction \frac{9}{100}.

$$\frac{150000}{109}\times \frac{9}{100}+\frac{300}{1.09}\times 0.09+\frac{106}{1.06}\times 0.06$$

Multiply \frac{150000}{109} times \frac{9}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{150000\times 9}{109\times 100}+\frac{300}{1.09}\times 0.09+\frac{106}{1.06}\times 0.06$$

Do the multiplications in the fraction \frac{150000\times 9}{109\times 100}.

$$\frac{1350000}{10900}+\frac{300}{1.09}\times 0.09+\frac{106}{1.06}\times 0.06$$

Reduce the fraction \frac{1350000}{10900} to lowest terms by extracting and canceling out 100.

$$\frac{13500}{109}+\frac{300}{1.09}\times 0.09+\frac{106}{1.06}\times 0.06$$

Expand \frac{300}{1.09} by multiplying both numerator and the denominator by 100.

$$\frac{13500}{109}+\frac{30000}{109}\times 0.09+\frac{106}{1.06}\times 0.06$$

Convert decimal number 0.09 to fraction \frac{9}{100}.

$$\frac{13500}{109}+\frac{30000}{109}\times \frac{9}{100}+\frac{106}{1.06}\times 0.06$$

Multiply \frac{30000}{109} times \frac{9}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13500}{109}+\frac{30000\times 9}{109\times 100}+\frac{106}{1.06}\times 0.06$$

Do the multiplications in the fraction \frac{30000\times 9}{109\times 100}.

$$\frac{13500}{109}+\frac{270000}{10900}+\frac{106}{1.06}\times 0.06$$

Reduce the fraction \frac{270000}{10900} to lowest terms by extracting and canceling out 100.

$$\frac{13500}{109}+\frac{2700}{109}+\frac{106}{1.06}\times 0.06$$

Since \frac{13500}{109} and \frac{2700}{109} have the same denominator, add them by adding their numerators.

$$\frac{13500+2700}{109}+\frac{106}{1.06}\times 0.06$$

Add 13500 and 2700 to get 16200.

$$\frac{16200}{109}+\frac{106}{1.06}\times 0.06$$

Expand \frac{106}{1.06} by multiplying both numerator and the denominator by 100.

$$\frac{16200}{109}+\frac{10600}{106}\times 0.06$$

Divide 10600 by 106 to get 100.

$$\frac{16200}{109}+100\times 0.06$$

Multiply 100 and 0.06 to get 6.

$$\frac{16200}{109}+6$$

Convert 6 to fraction \frac{654}{109}.

$$\frac{16200}{109}+\frac{654}{109}$$

Since \frac{16200}{109} and \frac{654}{109} have the same denominator, add them by adding their numerators.

$$\frac{16200+654}{109}$$

Add 16200 and 654 to get 16854.

$$\frac{16854}{109}$$

Factor

$$\frac{2 \cdot 3 \cdot 53 ^ {2}}{109} = 154\frac{68}{109} = 154.62385321100916$$