Solve 2a+2*4div8-22div4

$$2 a + 2 \times 4 \div 8 - 22 \div 4$$

Evaluate

$$2a-\frac{9}{2}$$

Solution Steps

Multiply 2 and 4 to get 8.

$$2a+\frac{8}{8}-\frac{22}{4}$$

Divide 8 by 8 to get 1.

$$2a+1-\frac{22}{4}$$

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$2a+1-\frac{11}{2}$$

Convert 1 to fraction \frac{2}{2}.

$$2a+\frac{2}{2}-\frac{11}{2}$$

Since \frac{2}{2} and \frac{11}{2} have the same denominator, subtract them by subtracting their numerators.

$$2a+\frac{2-11}{2}$$

Subtract 11 from 2 to get -9.

$$2a-\frac{9}{2}$$

Factor

$$\frac{4a-9}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{4a-9}{2}$$

Consider 4a+2-11. Multiply and combine like terms.

$$4a-9$$

Rewrite the complete factored expression.

$$\frac{4a-9}{2}$$