Solve 4+8*2+-3/2!*4+-4/3!*8

$$4 + 8 \times 2 + \frac { - 3 } { 2 ! } \times 4 + \frac { - 4 } { 3 ! } \times 8$$

Evaluate

$$\frac{26}{3}\approx 8.666666667$$

Solution Steps

Multiply 8 and 2 to get 16.

$$4+16+\frac{-3}{2!}\times 4+\frac{-4}{3!}\times 8$$

Add 4 and 16 to get 20.

$$20+\frac{-3}{2!}\times 4+\frac{-4}{3!}\times 8$$

The factorial of 2 is 2.

$$20+\frac{-3}{2}\times 4+\frac{-4}{3!}\times 8$$

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$20-\frac{3}{2}\times 4+\frac{-4}{3!}\times 8$$

Express -\frac{3}{2}\times 4 as a single fraction.

$$20+\frac{-3\times 4}{2}+\frac{-4}{3!}\times 8$$

Multiply -3 and 4 to get -12.

$$20+\frac{-12}{2}+\frac{-4}{3!}\times 8$$

Divide -12 by 2 to get -6.

$$20-6+\frac{-4}{3!}\times 8$$

Subtract 6 from 20 to get 14.

$$14+\frac{-4}{3!}\times 8$$

The factorial of 3 is 6.

$$14+\frac{-4}{6}\times 8$$

Reduce the fraction \frac{-4}{6} to lowest terms by extracting and canceling out 2.

$$14-\frac{2}{3}\times 8$$

Express -\frac{2}{3}\times 8 as a single fraction.

$$14+\frac{-2\times 8}{3}$$

Multiply -2 and 8 to get -16.

$$14+\frac{-16}{3}$$

Fraction \frac{-16}{3} can be rewritten as -\frac{16}{3} by extracting the negative sign.

$$14-\frac{16}{3}$$

Convert 14 to fraction \frac{42}{3}.

$$\frac{42}{3}-\frac{16}{3}$$

Since \frac{42}{3} and \frac{16}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42-16}{3}$$

Subtract 16 from 42 to get 26.

$$\frac{26}{3}$$

Factor

$$\frac{2 \cdot 13}{3} = 8\frac{2}{3} = 8.666666666666666$$