Solve 3+2(9-1)+4(3-1/2)

$$3 + 2 ( 9 - 1 ) + 4 ( 3 - \frac { 1 } { 2 } )$$

Evaluate

$$29$$

Solution Steps

Subtract 1 from 9 to get 8.

$$3+2\times 8+4\left(3-\frac{1}{2}\right)$$

Multiply 2 and 8 to get 16.

$$3+16+4\left(3-\frac{1}{2}\right)$$

Add 3 and 16 to get 19.

$$19+4\left(3-\frac{1}{2}\right)$$

Convert 3 to fraction \frac{6}{2}.

$$19+4\left(\frac{6}{2}-\frac{1}{2}\right)$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$19+4\times \frac{6-1}{2}$$

Subtract 1 from 6 to get 5.

$$19+4\times \frac{5}{2}$$

Express 4\times \frac{5}{2} as a single fraction.

$$19+\frac{4\times 5}{2}$$

Multiply 4 and 5 to get 20.

$$19+\frac{20}{2}$$

Divide 20 by 2 to get 10.

$$19+10$$

Add 19 and 10 to get 29.

$$29$$

Factor

$$29$$