Solve 500(22div7)0.42*1.2

$$500(22 \div 7)0.42 \times 1.2$$

Evaluate

$$792$$

Solution Steps

Express 500\times \frac{22}{7} as a single fraction.

$$\frac{500\times 22}{7}\times 0.42\times 1.2$$

Multiply 500 and 22 to get 11000.

$$\frac{11000}{7}\times 0.42\times 1.2$$

Convert decimal number 0.42 to fraction \frac{42}{100}. Reduce the fraction \frac{42}{100} to lowest terms by extracting and canceling out 2.

$$\frac{11000}{7}\times \frac{21}{50}\times 1.2$$

Multiply \frac{11000}{7} times \frac{21}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11000\times 21}{7\times 50}\times 1.2$$

Do the multiplications in the fraction \frac{11000\times 21}{7\times 50}.

$$\frac{231000}{350}\times 1.2$$

Divide 231000 by 350 to get 660.

$$660\times 1.2$$

Multiply 660 and 1.2 to get 792.

$$792$$

Factor

$$11\times 2^{3}\times 3^{2}$$