Solve 1/21*2.5*4200

$$\frac{ 1 }{ 21 } \times 2.5 \times 4200$$

Evaluate

$$500$$

Solution Steps

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{21}\times \frac{5}{2}\times 4200$$

Multiply \frac{1}{21} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{21\times 2}\times 4200$$

Do the multiplications in the fraction \frac{1\times 5}{21\times 2}.

$$\frac{5}{42}\times 4200$$

Express \frac{5}{42}\times 4200 as a single fraction.

$$\frac{5\times 4200}{42}$$

Multiply 5 and 4200 to get 21000.

$$\frac{21000}{42}$$

Divide 21000 by 42 to get 500.

$$500$$

Factor

$$2^{2}\times 5^{3}$$