Solve 28.26*2.5*1/3div10div2

$$28.26 \times 2.5 \times \frac { 1 } { 3 } \div 10 \div 2$$

Evaluate

$$1.1775$$

Solution Steps

Express \frac{\frac{28.26\times 2.5\times \frac{1}{3}}{10}}{2} as a single fraction.

$$\frac{28.26\times 2.5\times \frac{1}{3}}{10\times 2}$$

Multiply 28.26 and 2.5 to get 70.65.

$$\frac{70.65\times \frac{1}{3}}{10\times 2}$$

Convert decimal number 70.65 to fraction \frac{7065}{100}. Reduce the fraction \frac{7065}{100} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1413}{20}\times \frac{1}{3}}{10\times 2}$$

Multiply \frac{1413}{20} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1413\times 1}{20\times 3}}{10\times 2}$$

Do the multiplications in the fraction \frac{1413\times 1}{20\times 3}.

$$\frac{\frac{1413}{60}}{10\times 2}$$

Reduce the fraction \frac{1413}{60} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{471}{20}}{10\times 2}$$

Multiply 10 and 2 to get 20.

$$\frac{\frac{471}{20}}{20}$$

Express \frac{\frac{471}{20}}{20} as a single fraction.

$$\frac{471}{20\times 20}$$

Multiply 20 and 20 to get 400.

$$\frac{471}{400}$$

Factor

$$\frac{3 \cdot 157}{2 ^ {4} \cdot 5 ^ {2}} = 1\frac{71}{400} = 1.1775$$