Solve 0.24div7*(0.25*200)

$$0.24 \div 7 \times (0.25 \times 200)$$

Evaluate

$$\frac{12}{7}\approx 1.714285714$$

Solution Steps

Expand \frac{0.24}{7} by multiplying both numerator and the denominator by 100.

$$\frac{24}{700}\times 0.25\times 200$$

Reduce the fraction \frac{24}{700} to lowest terms by extracting and canceling out 4.

$$\frac{6}{175}\times 0.25\times 200$$

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.

$$\frac{6}{175}\times \frac{1}{4}\times 200$$

Multiply \frac{6}{175} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 1}{175\times 4}\times 200$$

Do the multiplications in the fraction \frac{6\times 1}{175\times 4}.

$$\frac{6}{700}\times 200$$

Reduce the fraction \frac{6}{700} to lowest terms by extracting and canceling out 2.

$$\frac{3}{350}\times 200$$

Express \frac{3}{350}\times 200 as a single fraction.

$$\frac{3\times 200}{350}$$

Multiply 3 and 200 to get 600.

$$\frac{600}{350}$$

Reduce the fraction \frac{600}{350} to lowest terms by extracting and canceling out 50.

$$\frac{12}{7}$$

Factor

$$\frac{3 \cdot 2 ^ {2}}{7} = 1\frac{5}{7} = 1.7142857142857142$$