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

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

Evaluate

$$\frac{6125}{18}\approx 340.277777778$$

Solution Steps

Multiply 8 and 9 to get 72.

$$\frac{77}{72}\times \frac{100\left(435-400\right)}{11}$$

Subtract 400 from 435 to get 35.

$$\frac{77}{72}\times \frac{100\times 35}{11}$$

Multiply 100 and 35 to get 3500.

$$\frac{77}{72}\times \frac{3500}{11}$$

Multiply \frac{77}{72} times \frac{3500}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77\times 3500}{72\times 11}$$

Do the multiplications in the fraction \frac{77\times 3500}{72\times 11}.

$$\frac{269500}{792}$$

Reduce the fraction \frac{269500}{792} to lowest terms by extracting and canceling out 44.

$$\frac{6125}{18}$$

Factor

$$\frac{5 ^ {3} \cdot 7 ^ {2}}{2 \cdot 3 ^ {2}} = 340\frac{5}{18} = 340.27777777777777$$