Solve [2/3*6/26]*[25/26]*6

$$[ \frac { 2 } { 3 } \times \frac { 6 } { 26 } ] \times [ \frac { 25 } { 26 } ] \times 6$$

Evaluate

$$\frac{150}{169}\approx 0.887573964$$

Solution Steps

Reduce the fraction \frac{6}{26} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}\times \frac{3}{13}\times \frac{25}{26}\times 6$$

Multiply \frac{2}{3} times \frac{3}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{3\times 13}\times \frac{25}{26}\times 6$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{13}\times \frac{25}{26}\times 6$$

Multiply \frac{2}{13} times \frac{25}{26} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 25}{13\times 26}\times 6$$

Do the multiplications in the fraction \frac{2\times 25}{13\times 26}.

$$\frac{50}{338}\times 6$$

Reduce the fraction \frac{50}{338} to lowest terms by extracting and canceling out 2.

$$\frac{25}{169}\times 6$$

Express \frac{25}{169}\times 6 as a single fraction.

$$\frac{25\times 6}{169}$$

Multiply 25 and 6 to get 150.

$$\frac{150}{169}$$

Factor

$$\frac{2 \cdot 3 \cdot 5 ^ {2}}{13 ^ {2}} = 0.8875739644970414$$