Solve 4+8*2+-3/21*4+-4/3!*8

$$4 + 8 \times 2 + \frac { - 3 } { 21 } \times 4 + \frac { - 4 } { 3 ! } \times 8$$

Evaluate

$$\frac{296}{21}\approx 14.095238095$$

Solution Steps

Multiply 8 and 2 to get 16.

$$4+16+\frac{-3}{21}\times 4+\frac{-4}{3!}\times 8$$

Add 4 and 16 to get 20.

$$20+\frac{-3}{21}\times 4+\frac{-4}{3!}\times 8$$

Reduce the fraction \frac{-3}{21} to lowest terms by extracting and canceling out 3.

$$20-\frac{1}{7}\times 4+\frac{-4}{3!}\times 8$$

Express -\frac{1}{7}\times 4 as a single fraction.

$$20+\frac{-4}{7}+\frac{-4}{3!}\times 8$$

Fraction \frac{-4}{7} can be rewritten as -\frac{4}{7} by extracting the negative sign.

$$20-\frac{4}{7}+\frac{-4}{3!}\times 8$$

Convert 20 to fraction \frac{140}{7}.

$$\frac{140}{7}-\frac{4}{7}+\frac{-4}{3!}\times 8$$

Since \frac{140}{7} and \frac{4}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{140-4}{7}+\frac{-4}{3!}\times 8$$

Subtract 4 from 140 to get 136.

$$\frac{136}{7}+\frac{-4}{3!}\times 8$$

The factorial of 3 is 6.

$$\frac{136}{7}+\frac{-4}{6}\times 8$$

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

$$\frac{136}{7}-\frac{2}{3}\times 8$$

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

$$\frac{136}{7}+\frac{-2\times 8}{3}$$

Multiply -2 and 8 to get -16.

$$\frac{136}{7}+\frac{-16}{3}$$

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

$$\frac{136}{7}-\frac{16}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{136}{7} and \frac{16}{3} to fractions with denominator 21.

$$\frac{408}{21}-\frac{112}{21}$$

Since \frac{408}{21} and \frac{112}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{408-112}{21}$$

Subtract 112 from 408 to get 296.

$$\frac{296}{21}$$

Factor

$$\frac{2 ^ {3} \cdot 37}{3 \cdot 7} = 14\frac{2}{21} = 14.095238095238095$$