Solve 7div4-8*2+5div4*2

$$7 \div 4 - 8 \times 2 + 5 \div 4 \times 2$$

Evaluate

$$-\frac{47}{4}=-11.75$$

Solution Steps

Multiply 8 and 2 to get 16.

$$\frac{7}{4}-16+\frac{5}{4}\times 2$$

Convert 16 to fraction \frac{64}{4}.

$$\frac{7}{4}-\frac{64}{4}+\frac{5}{4}\times 2$$

Since \frac{7}{4} and \frac{64}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-64}{4}+\frac{5}{4}\times 2$$

Subtract 64 from 7 to get -57.

$$-\frac{57}{4}+\frac{5}{4}\times 2$$

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

$$-\frac{57}{4}+\frac{5\times 2}{4}$$

Multiply 5 and 2 to get 10.

$$-\frac{57}{4}+\frac{10}{4}$$

Since -\frac{57}{4} and \frac{10}{4} have the same denominator, add them by adding their numerators.

$$\frac{-57+10}{4}$$

Add -57 and 10 to get -47.

$$-\frac{47}{4}$$

Factor

$$-\frac{47}{4} = -11\frac{3}{4} = -11.75$$