Solve 25/6*11/7div2

$$2 \frac{ 5 }{ 6 } \times 1 \frac{ 1 }{ 7 } \div 2$$

Evaluate

$$\frac{34}{21}\approx 1.619047619$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{\frac{12+5}{6}\times \frac{1\times 7+1}{7}}{2}$$

Add 12 and 5 to get 17.

$$\frac{\frac{17}{6}\times \frac{1\times 7+1}{7}}{2}$$

Multiply 1 and 7 to get 7.

$$\frac{\frac{17}{6}\times \frac{7+1}{7}}{2}$$

Add 7 and 1 to get 8.

$$\frac{\frac{17}{6}\times \frac{8}{7}}{2}$$

Multiply \frac{17}{6} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{17\times 8}{6\times 7}}{2}$$

Do the multiplications in the fraction \frac{17\times 8}{6\times 7}.

$$\frac{\frac{136}{42}}{2}$$

Reduce the fraction \frac{136}{42} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{68}{21}}{2}$$

Express \frac{\frac{68}{21}}{2} as a single fraction.

$$\frac{68}{21\times 2}$$

Multiply 21 and 2 to get 42.

$$\frac{68}{42}$$

Reduce the fraction \frac{68}{42} to lowest terms by extracting and canceling out 2.

$$\frac{34}{21}$$

Factor

$$\frac{2 \cdot 17}{3 \cdot 7} = 1\frac{13}{21} = 1.619047619047619$$