Solve 14/21*23/5*12/39=?

$$1 \frac { 4 } { 21 } \times 2 \frac { 3 } { 5 } \times 1 \frac { 2 } { 39 } = ?$$

Evaluate

$$\frac{205}{63}\approx 3.253968254$$

Solution Steps

Multiply 1 and 21 to get 21.

$$\frac{21+4}{21}\times \frac{2\times 5+3}{5}\times \frac{1\times 39+2}{39}$$

Add 21 and 4 to get 25.

$$\frac{25}{21}\times \frac{2\times 5+3}{5}\times \frac{1\times 39+2}{39}$$

Multiply 2 and 5 to get 10.

$$\frac{25}{21}\times \frac{10+3}{5}\times \frac{1\times 39+2}{39}$$

Add 10 and 3 to get 13.

$$\frac{25}{21}\times \frac{13}{5}\times \frac{1\times 39+2}{39}$$

Multiply \frac{25}{21} times \frac{13}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 13}{21\times 5}\times \frac{1\times 39+2}{39}$$

Do the multiplications in the fraction \frac{25\times 13}{21\times 5}.

$$\frac{325}{105}\times \frac{1\times 39+2}{39}$$

Reduce the fraction \frac{325}{105} to lowest terms by extracting and canceling out 5.

$$\frac{65}{21}\times \frac{1\times 39+2}{39}$$

Multiply 1 and 39 to get 39.

$$\frac{65}{21}\times \frac{39+2}{39}$$

Add 39 and 2 to get 41.

$$\frac{65}{21}\times \frac{41}{39}$$

Multiply \frac{65}{21} times \frac{41}{39} by multiplying numerator times numerator and denominator times denominator.

$$\frac{65\times 41}{21\times 39}$$

Do the multiplications in the fraction \frac{65\times 41}{21\times 39}.

$$\frac{2665}{819}$$

Reduce the fraction \frac{2665}{819} to lowest terms by extracting and canceling out 13.

$$\frac{205}{63}$$

Factor

$$\frac{5 \cdot 41}{3 ^ {2} \cdot 7} = 3\frac{16}{63} = 3.253968253968254$$