Solve (7+29/2)*3/27-2

$$\frac { ( 7 + 29 / 2 ) \times 3 } { 27 - 2 }$$

Evaluate

$$\frac{129}{50}=2.58$$

Solution Steps

Convert 7 to fraction \frac{14}{2}.

$$\frac{\left(\frac{14}{2}+\frac{29}{2}\right)\times 3}{27-2}$$

Since \frac{14}{2} and \frac{29}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{14+29}{2}\times 3}{27-2}$$

Add 14 and 29 to get 43.

$$\frac{\frac{43}{2}\times 3}{27-2}$$

Express \frac{43}{2}\times 3 as a single fraction.

$$\frac{\frac{43\times 3}{2}}{27-2}$$

Multiply 43 and 3 to get 129.

$$\frac{\frac{129}{2}}{27-2}$$

Subtract 2 from 27 to get 25.

$$\frac{\frac{129}{2}}{25}$$

Express \frac{\frac{129}{2}}{25} as a single fraction.

$$\frac{129}{2\times 25}$$

Multiply 2 and 25 to get 50.

$$\frac{129}{50}$$

Factor

$$\frac{3 \cdot 43}{2 \cdot 5 ^ {2}} = 2\frac{29}{50} = 2.58$$