Solve 14/5*11/5*13/4

$$1 \frac { 4 } { 5 } \times 1 \frac { 1 } { 5 } \times 1 \frac { 3 } { 4 }$$

Evaluate

$$\frac{189}{50}=3.78$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{5+4}{5}\times \frac{1\times 5+1}{5}\times \frac{1\times 4+3}{4}$$

Add 5 and 4 to get 9.

$$\frac{9}{5}\times \frac{1\times 5+1}{5}\times \frac{1\times 4+3}{4}$$

Multiply 1 and 5 to get 5.

$$\frac{9}{5}\times \frac{5+1}{5}\times \frac{1\times 4+3}{4}$$

Add 5 and 1 to get 6.

$$\frac{9}{5}\times \frac{6}{5}\times \frac{1\times 4+3}{4}$$

Multiply \frac{9}{5} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 6}{5\times 5}\times \frac{1\times 4+3}{4}$$

Do the multiplications in the fraction \frac{9\times 6}{5\times 5}.

$$\frac{54}{25}\times \frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{54}{25}\times \frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{54}{25}\times \frac{7}{4}$$

Multiply \frac{54}{25} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{54\times 7}{25\times 4}$$

Do the multiplications in the fraction \frac{54\times 7}{25\times 4}.

$$\frac{378}{100}$$

Reduce the fraction \frac{378}{100} to lowest terms by extracting and canceling out 2.

$$\frac{189}{50}$$

Factor

$$\frac{3 ^ {3} \cdot 7}{2 \cdot 5 ^ {2}} = 3\frac{39}{50} = 3.78$$