Solve 2-4+8*9div21*78div56*6=

$$2-4+8 \times 9 \div 21 \times 78 \div 56 \times 6=$$

Evaluate

$$\frac{1306}{49}\approx 26.653061224$$

Solution Steps

Subtract 4 from 2 to get -2.

$$-2+\frac{\frac{8\times 9}{21}\times 78}{56}\times 6$$

Multiply 8 and 9 to get 72.

$$-2+\frac{\frac{72}{21}\times 78}{56}\times 6$$

Reduce the fraction \frac{72}{21} to lowest terms by extracting and canceling out 3.

$$-2+\frac{\frac{24}{7}\times 78}{56}\times 6$$

Express \frac{24}{7}\times 78 as a single fraction.

$$-2+\frac{\frac{24\times 78}{7}}{56}\times 6$$

Multiply 24 and 78 to get 1872.

$$-2+\frac{\frac{1872}{7}}{56}\times 6$$

Express \frac{\frac{1872}{7}}{56} as a single fraction.

$$-2+\frac{1872}{7\times 56}\times 6$$

Multiply 7 and 56 to get 392.

$$-2+\frac{1872}{392}\times 6$$

Reduce the fraction \frac{1872}{392} to lowest terms by extracting and canceling out 8.

$$-2+\frac{234}{49}\times 6$$

Express \frac{234}{49}\times 6 as a single fraction.

$$-2+\frac{234\times 6}{49}$$

Multiply 234 and 6 to get 1404.

$$-2+\frac{1404}{49}$$

Convert -2 to fraction -\frac{98}{49}.

$$-\frac{98}{49}+\frac{1404}{49}$$

Since -\frac{98}{49} and \frac{1404}{49} have the same denominator, add them by adding their numerators.

$$\frac{-98+1404}{49}$$

Add -98 and 1404 to get 1306.

$$\frac{1306}{49}$$

Factor

$$\frac{2 \cdot 653}{7 ^ {2}} = 26\frac{32}{49} = 26.653061224489797$$