Solve 2*(.51-.495)div3*22.4

$$2 \times (.51-.495) \div 3 \times 22.4$$

Evaluate

$$0.224$$

Solution Steps

Subtract 0.495 from 0.51 to get 0.015.

$$\frac{2\times 0.015}{3}\times 22.4$$

Multiply 2 and 0.015 to get 0.03.

$$\frac{0.03}{3}\times 22.4$$

Expand \frac{0.03}{3} by multiplying both numerator and the denominator by 100.

$$\frac{3}{300}\times 22.4$$

Reduce the fraction \frac{3}{300} to lowest terms by extracting and canceling out 3.

$$\frac{1}{100}\times 22.4$$

Convert decimal number 22.4 to fraction \frac{224}{10}. Reduce the fraction \frac{224}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{100}\times \frac{112}{5}$$

Multiply \frac{1}{100} times \frac{112}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 112}{100\times 5}$$

Do the multiplications in the fraction \frac{1\times 112}{100\times 5}.

$$\frac{112}{500}$$

Reduce the fraction \frac{112}{500} to lowest terms by extracting and canceling out 4.

$$\frac{28}{125}$$

Factor

$$\frac{7 \cdot 2 ^ {2}}{5 ^ {3}} = 0.224$$