Solve ((480div3.14)div2)*3.14

$$((480 \div 3.14) \div 2) \times 3.14$$

Evaluate

$$240$$

Solution Steps

Express \frac{\frac{480}{3.14}}{2} as a single fraction.

$$\frac{480}{3.14\times 2}\times 3.14$$

Multiply 3.14 and 2 to get 6.28.

$$\frac{480}{6.28}\times 3.14$$

Expand \frac{480}{6.28} by multiplying both numerator and the denominator by 100.

$$\frac{48000}{628}\times 3.14$$

Reduce the fraction \frac{48000}{628} to lowest terms by extracting and canceling out 4.

$$\frac{12000}{157}\times 3.14$$

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{12000}{157}\times \frac{157}{50}$$

Multiply \frac{12000}{157} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12000\times 157}{157\times 50}$$

Cancel out 157 in both numerator and denominator.

$$\frac{12000}{50}$$

Divide 12000 by 50 to get 240.

$$240$$

Factor

$$3\times 5\times 2^{4}$$