Solve 3*14left(493+2*3+36*3right)/4

$$\frac{ 3 \cdot 14 \left( 493+2 \cdot 3+36 \cdot 3 \right) }{ 4 }$$

Evaluate

$$\frac{12747}{2}=6373.5$$

Solution Steps

Multiply 3 and 14 to get 42.

$$\frac{42\left(493+2\times 3+36\times 3\right)}{4}$$

Multiply 2 and 3 to get 6. Multiply 36 and 3 to get 108.

$$\frac{42\left(493+6+108\right)}{4}$$

Add 493 and 6 to get 499.

$$\frac{42\left(499+108\right)}{4}$$

Add 499 and 108 to get 607.

$$\frac{42\times 607}{4}$$

Multiply 42 and 607 to get 25494.

$$\frac{25494}{4}$$

Reduce the fraction \frac{25494}{4} to lowest terms by extracting and canceling out 2.

$$\frac{12747}{2}$$

Factor

$$\frac{3 \cdot 7 \cdot 607}{2} = 6373\frac{1}{2} = 6373.5$$