Solve 746*42/2984+1492

$$\frac { 746 \cdot 42 } { 2984 } + 1492$$

Evaluate

$$\frac{3005}{2}=1502.5$$

Solution Steps

Multiply 746 and 42 to get 31332.

$$\frac{31332}{2984}+1492$$

Reduce the fraction \frac{31332}{2984} to lowest terms by extracting and canceling out 1492.

$$\frac{21}{2}+1492$$

Convert 1492 to fraction \frac{2984}{2}.

$$\frac{21}{2}+\frac{2984}{2}$$

Since \frac{21}{2} and \frac{2984}{2} have the same denominator, add them by adding their numerators.

$$\frac{21+2984}{2}$$

Add 21 and 2984 to get 3005.

$$\frac{3005}{2}$$

Factor

$$\frac{5 \cdot 601}{2} = 1502\frac{1}{2} = 1502.5$$