Solve .77/.8*.9100(435-400)/.11

$$\frac{ .77 }{ .8 \times .9 } \frac{ 100(435-400) }{ .11 }$$

Evaluate

$$\frac{306250}{9}\approx 34027.777777778$$

Solution Steps

Multiply 0.8 and 0.9 to get 0.72.

$$\frac{0.77}{0.72}\times \frac{100\left(435-400\right)}{0.11}$$

Expand \frac{0.77}{0.72} by multiplying both numerator and the denominator by 100.

$$\frac{77}{72}\times \frac{100\left(435-400\right)}{0.11}$$

Subtract 400 from 435 to get 35.

$$\frac{77}{72}\times \frac{100\times 35}{0.11}$$

Multiply 100 and 35 to get 3500.

$$\frac{77}{72}\times \frac{3500}{0.11}$$

Expand \frac{3500}{0.11} by multiplying both numerator and the denominator by 100.

$$\frac{77}{72}\times \frac{350000}{11}$$

Multiply \frac{77}{72} times \frac{350000}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77\times 350000}{72\times 11}$$

Do the multiplications in the fraction \frac{77\times 350000}{72\times 11}.

$$\frac{26950000}{792}$$

Reduce the fraction \frac{26950000}{792} to lowest terms by extracting and canceling out 88.

$$\frac{306250}{9}$$

Factor

$$\frac{2 \cdot 5 ^ {5} \cdot 7 ^ {2}}{3 ^ {2}} = 34027\frac{7}{9} = 34027.77777777778$$