Solve 3-4*4div7*4+5

$$3 - 4 \times 4 \div 7 \times 4 + 5$$

Evaluate

$$-\frac{8}{7}\approx -1.142857143$$

Solution Steps

Multiply 4 and 4 to get 16.

$$3-\frac{16}{7}\times 4+5$$

Express \frac{16}{7}\times 4 as a single fraction.

$$3-\frac{16\times 4}{7}+5$$

Multiply 16 and 4 to get 64.

$$3-\frac{64}{7}+5$$

Convert 3 to fraction \frac{21}{7}.

$$\frac{21}{7}-\frac{64}{7}+5$$

Since \frac{21}{7} and \frac{64}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-64}{7}+5$$

Subtract 64 from 21 to get -43.

$$-\frac{43}{7}+5$$

Convert 5 to fraction \frac{35}{7}.

$$-\frac{43}{7}+\frac{35}{7}$$

Since -\frac{43}{7} and \frac{35}{7} have the same denominator, add them by adding their numerators.

$$\frac{-43+35}{7}$$

Add -43 and 35 to get -8.

$$-\frac{8}{7}$$

Factor

$$-\frac{8}{7} = -1\frac{1}{7} = -1.1428571428571428$$