Solve left|652+427-14*4751div42right|

$$\left| 652+427-14 \times 4751 \div 42 \right|$$

Evaluate

$$\frac{1514}{3}\approx 504.666666667$$

Solution Steps

Add 652 and 427 to get 1079.

$$|1079-\frac{14\times 4751}{42}|$$

Multiply 14 and 4751 to get 66514.

$$|1079-\frac{66514}{42}|$$

Reduce the fraction \frac{66514}{42} to lowest terms by extracting and canceling out 14.

$$|1079-\frac{4751}{3}|$$

Convert 1079 to fraction \frac{3237}{3}.

$$|\frac{3237}{3}-\frac{4751}{3}|$$

Since \frac{3237}{3} and \frac{4751}{3} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{3237-4751}{3}|$$

Subtract 4751 from 3237 to get -1514.

$$|-\frac{1514}{3}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{1514}{3} is \frac{1514}{3}.

$$\frac{1514}{3}$$

Factor

$$\frac{2 \cdot 757}{3} = 504\frac{2}{3} = 504.6666666666667$$