Solve 30-7+243/4-30

$$30-7+24 \frac{ 3 }{ 4 } -30$$

Evaluate

$$\frac{71}{4}=17.75$$

Solution Steps

Subtract 7 from 30 to get 23.

$$23+\frac{24\times 4+3}{4}-30$$

Multiply 24 and 4 to get 96.

$$23+\frac{96+3}{4}-30$$

Add 96 and 3 to get 99.

$$23+\frac{99}{4}-30$$

Convert 23 to fraction \frac{92}{4}.

$$\frac{92}{4}+\frac{99}{4}-30$$

Since \frac{92}{4} and \frac{99}{4} have the same denominator, add them by adding their numerators.

$$\frac{92+99}{4}-30$$

Add 92 and 99 to get 191.

$$\frac{191}{4}-30$$

Convert 30 to fraction \frac{120}{4}.

$$\frac{191}{4}-\frac{120}{4}$$

Since \frac{191}{4} and \frac{120}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{191-120}{4}$$

Subtract 120 from 191 to get 71.

$$\frac{71}{4}$$

Factor

$$\frac{71}{2 ^ {2}} = 17\frac{3}{4} = 17.75$$