Solve 2div3*355div113*0.5^2*2

$$2 \div 3 \times 355 \div 113 \times { 0.5 }^{ 2 } \times 2$$

Evaluate

$$\frac{355}{339}\approx 1.04719764$$

Solution Steps

Express \frac{2}{3}\times 355 as a single fraction.

$$\frac{\frac{2\times 355}{3}}{113}\times 0.5^{2}\times 2$$

Multiply 2 and 355 to get 710.

$$\frac{\frac{710}{3}}{113}\times 0.5^{2}\times 2$$

Express \frac{\frac{710}{3}}{113} as a single fraction.

$$\frac{710}{3\times 113}\times 0.5^{2}\times 2$$

Multiply 3 and 113 to get 339.

$$\frac{710}{339}\times 0.5^{2}\times 2$$

Calculate 0.5 to the power of 2 and get 0.25.

$$\frac{710}{339}\times 0.25\times 2$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{710}{339}\times \frac{1}{4}\times 2$$

Multiply \frac{710}{339} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{710\times 1}{339\times 4}\times 2$$

Do the multiplications in the fraction \frac{710\times 1}{339\times 4}.

$$\frac{710}{1356}\times 2$$

Reduce the fraction \frac{710}{1356} to lowest terms by extracting and canceling out 2.

$$\frac{355}{678}\times 2$$

Express \frac{355}{678}\times 2 as a single fraction.

$$\frac{355\times 2}{678}$$

Multiply 355 and 2 to get 710.

$$\frac{710}{678}$$

Reduce the fraction \frac{710}{678} to lowest terms by extracting and canceling out 2.

$$\frac{355}{339}$$

Factor

$$\frac{5 \cdot 71}{3 \cdot 113} = 1\frac{16}{339} = 1.047197640117994$$