Solve 14/13*6/2.8*4

$$\frac { \frac { 14 } { 13 } \times 6 } { 2.8 \times 4 }$$

Evaluate

$$\frac{15}{26}\approx 0.576923077$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{\frac{14}{13}\times 3}{2\times 2.8}$$

Express \frac{14}{13}\times 3 as a single fraction.

$$\frac{\frac{14\times 3}{13}}{2\times 2.8}$$

Multiply 14 and 3 to get 42.

$$\frac{\frac{42}{13}}{2\times 2.8}$$

Multiply 2 and 2.8 to get 5.6.

$$\frac{\frac{42}{13}}{5.6}$$

Express \frac{\frac{42}{13}}{5.6} as a single fraction.

$$\frac{42}{13\times 5.6}$$

Multiply 13 and 5.6 to get 72.8.

$$\frac{42}{72.8}$$

Expand \frac{42}{72.8} by multiplying both numerator and the denominator by 10.

$$\frac{420}{728}$$

Reduce the fraction \frac{420}{728} to lowest terms by extracting and canceling out 28.

$$\frac{15}{26}$$

Factor

$$\frac{3 \cdot 5}{2 \cdot 13} = 0.5769230769230769$$