Solve 24.6-3.7/100left(12-3.7right)

$$\frac{ 24.6-3.7 }{ 100 } \left( 12-3.7 \right)$$

Evaluate

$$1.7347$$

Solution Steps

Subtract 3.7 from 24.6 to get 20.9.

$$\frac{20.9}{100}\left(12-3.7\right)$$

Expand \frac{20.9}{100} by multiplying both numerator and the denominator by 10.

$$\frac{209}{1000}\left(12-3.7\right)$$

Subtract 3.7 from 12 to get 8.3.

$$\frac{209}{1000}\times 8.3$$

Convert decimal number 8.3 to fraction \frac{83}{10}.

$$\frac{209}{1000}\times \frac{83}{10}$$

Multiply \frac{209}{1000} times \frac{83}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{209\times 83}{1000\times 10}$$

Do the multiplications in the fraction \frac{209\times 83}{1000\times 10}.

$$\frac{17347}{10000}$$

Factor

$$\frac{11 \cdot 19 \cdot 83}{2 ^ {4} \cdot 5 ^ {4}} = 1\frac{7347}{10000} = 1.7347$$