Solve 2*22/7*43.9*2.10

$$2 \times \frac{ 22 }{ 7 } \times 43.9 \times 2.10$$

Evaluate

$$579.48$$

Solution Steps

Express 2\times \frac{22}{7} as a single fraction.

$$\frac{2\times 22}{7}\times 43.9\times 2.1$$

Multiply 2 and 22 to get 44.

$$\frac{44}{7}\times 43.9\times 2.1$$

Convert decimal number 43.9 to fraction \frac{439}{10}.

$$\frac{44}{7}\times \frac{439}{10}\times 2.1$$

Multiply \frac{44}{7} times \frac{439}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 439}{7\times 10}\times 2.1$$

Do the multiplications in the fraction \frac{44\times 439}{7\times 10}.

$$\frac{19316}{70}\times 2.1$$

Reduce the fraction \frac{19316}{70} to lowest terms by extracting and canceling out 2.

$$\frac{9658}{35}\times 2.1$$

Convert decimal number 2.1 to fraction \frac{21}{10}.

$$\frac{9658}{35}\times \frac{21}{10}$$

Multiply \frac{9658}{35} times \frac{21}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9658\times 21}{35\times 10}$$

Do the multiplications in the fraction \frac{9658\times 21}{35\times 10}.

$$\frac{202818}{350}$$

Reduce the fraction \frac{202818}{350} to lowest terms by extracting and canceling out 14.

$$\frac{14487}{25}$$

Factor

$$\frac{3 \cdot 11 \cdot 439}{5 ^ {2}} = 579\frac{12}{25} = 579.48$$