Solve 74:14-3*[10-2(8-3)]=

$$74 : 14 - 3 \cdot [ 10 - 2 ( 8 - 3 ) ] =$$

Evaluate

$$\frac{37}{7}\approx 5.285714286$$

Solution Steps

Reduce the fraction \frac{74}{14} to lowest terms by extracting and canceling out 2.

$$\frac{37}{7}-3\left(10-2\left(8-3\right)\right)$$

Subtract 3 from 8 to get 5.

$$\frac{37}{7}-3\left(10-2\times 5\right)$$

Multiply 2 and 5 to get 10.

$$\frac{37}{7}-3\left(10-10\right)$$

Subtract 10 from 10 to get 0.

$$\frac{37}{7}-3\times 0$$

Multiply 3 and 0 to get 0.

$$\frac{37}{7}-0$$

Subtract 0 from \frac{37}{7} to get \frac{37}{7}.

$$\frac{37}{7}$$

Factor

$$\frac{37}{7} = 5\frac{2}{7} = 5.285714285714286$$