Solve (480/3,6+7)*0,8/7,5*10^-5

$$\frac { ( \frac { 480 } { 3,6 } + 7 ) \times 0,8 } { 7,5 \times 10 ^ { - 5 } }$$

Evaluate

$$\frac{13472000}{9}\approx 1496888,888888889$$

Solution Steps

Expand \frac{480}{3,6} by multiplying both numerator and the denominator by 10.

$$\frac{\left(\frac{4800}{36}+7\right)\times 0,8}{7,5\times 10^{-5}}$$

Reduce the fraction \frac{4800}{36} to lowest terms by extracting and canceling out 12.

$$\frac{\left(\frac{400}{3}+7\right)\times 0,8}{7,5\times 10^{-5}}$$

Add \frac{400}{3} and 7 to get \frac{421}{3}.

$$\frac{\frac{421}{3}\times 0,8}{7,5\times 10^{-5}}$$

Multiply \frac{421}{3} and 0,8 to get \frac{1684}{15}.

$$\frac{\frac{1684}{15}}{7,5\times 10^{-5}}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{\frac{1684}{15}}{7,5\times \frac{1}{100000}}$$

Multiply 7,5 and \frac{1}{100000} to get \frac{3}{40000}.

$$\frac{\frac{1684}{15}}{\frac{3}{40000}}$$

Divide \frac{1684}{15} by \frac{3}{40000} by multiplying \frac{1684}{15} by the reciprocal of \frac{3}{40000}.

$$\frac{1684}{15}\times \frac{40000}{3}$$

Multiply \frac{1684}{15} and \frac{40000}{3} to get \frac{13472000}{9}.

$$\frac{13472000}{9}$$

Factor

$$\frac{421 \cdot 2 ^ {8} \cdot 5 ^ {3}}{3 ^ {2}} = 1496888\frac{8}{9} = 1496888.888888889$$