Solve left(7.868-2.19right)div3*0.25/700=

$$\frac{ \left( 7.868-2.19 \right) \div 3 \times 0.25 }{ 700 } =$$

Evaluate

$$\frac{2839}{4200000}\approx 0.000675952$$

Solution Steps

Subtract 2.19 from 7.868 to get 5.678.

$$\frac{\frac{5.678}{3}\times 0.25}{700}$$

Expand \frac{5.678}{3} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{5678}{3000}\times 0.25}{700}$$

Reduce the fraction \frac{5678}{3000} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2839}{1500}\times 0.25}{700}$$

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.

$$\frac{\frac{2839}{1500}\times \frac{1}{4}}{700}$$

Multiply \frac{2839}{1500} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2839\times 1}{1500\times 4}}{700}$$

Do the multiplications in the fraction \frac{2839\times 1}{1500\times 4}.

$$\frac{\frac{2839}{6000}}{700}$$

Express \frac{\frac{2839}{6000}}{700} as a single fraction.

$$\frac{2839}{6000\times 700}$$

Multiply 6000 and 700 to get 4200000.

$$\frac{2839}{4200000}$$

Factor

$$\frac{17 \cdot 167}{3 \cdot 7 \cdot 2 ^ {6} \cdot 5 ^ {5}} = 0.0006759523809523809$$