Solve 14/1613/1512/1411/13frac{10}{12}frac{9}{11}frac{8}{10}

$$\frac{ 14 }{ 16 } \frac{ 13 }{ 15 } \frac{ 12 }{ 14 } \frac{ 11 }{ 13 } \frac{ 10 }{ 12 } \frac{ 9 }{ 11 } \frac{ 8 }{ 10 }$$

Evaluate

$$\frac{3}{10}=0.3$$

Solution Steps

Reduce the fraction \frac{14}{16} to lowest terms by extracting and canceling out 2.

$$\frac{7}{8}\times \frac{13}{15}\times \frac{12}{14}\times \frac{11}{13}\times \frac{10}{12}\times \frac{9}{11}\times \frac{8}{10}$$

Multiply \frac{7}{8} times \frac{13}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 13}{8\times 15}\times \frac{12}{14}\times \frac{11}{13}\times \frac{10}{12}\times \frac{9}{11}\times \frac{8}{10}$$

Do the multiplications in the fraction \frac{7\times 13}{8\times 15}.

$$\frac{91}{120}\times \frac{12}{14}\times \frac{11}{13}\times \frac{10}{12}\times \frac{9}{11}\times \frac{8}{10}$$

Reduce the fraction \frac{12}{14} to lowest terms by extracting and canceling out 2.

$$\frac{91}{120}\times \frac{6}{7}\times \frac{11}{13}\times \frac{10}{12}\times \frac{9}{11}\times \frac{8}{10}$$

Multiply \frac{91}{120} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{91\times 6}{120\times 7}\times \frac{11}{13}\times \frac{10}{12}\times \frac{9}{11}\times \frac{8}{10}$$

Do the multiplications in the fraction \frac{91\times 6}{120\times 7}.

$$\frac{546}{840}\times \frac{11}{13}\times \frac{10}{12}\times \frac{9}{11}\times \frac{8}{10}$$

Reduce the fraction \frac{546}{840} to lowest terms by extracting and canceling out 42.

$$\frac{13}{20}\times \frac{11}{13}\times \frac{10}{12}\times \frac{9}{11}\times \frac{8}{10}$$

Multiply \frac{13}{20} times \frac{11}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 11}{20\times 13}\times \frac{10}{12}\times \frac{9}{11}\times \frac{8}{10}$$

Cancel out 13 in both numerator and denominator.

$$\frac{11}{20}\times \frac{10}{12}\times \frac{9}{11}\times \frac{8}{10}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{11}{20}\times \frac{5}{6}\times \frac{9}{11}\times \frac{8}{10}$$

Multiply \frac{11}{20} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 5}{20\times 6}\times \frac{9}{11}\times \frac{8}{10}$$

Do the multiplications in the fraction \frac{11\times 5}{20\times 6}.

$$\frac{55}{120}\times \frac{9}{11}\times \frac{8}{10}$$

Reduce the fraction \frac{55}{120} to lowest terms by extracting and canceling out 5.

$$\frac{11}{24}\times \frac{9}{11}\times \frac{8}{10}$$

Multiply \frac{11}{24} times \frac{9}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 9}{24\times 11}\times \frac{8}{10}$$

Cancel out 11 in both numerator and denominator.

$$\frac{9}{24}\times \frac{8}{10}$$

Reduce the fraction \frac{9}{24} to lowest terms by extracting and canceling out 3.

$$\frac{3}{8}\times \frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{8}\times \frac{4}{5}$$

Multiply \frac{3}{8} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 4}{8\times 5}$$

Do the multiplications in the fraction \frac{3\times 4}{8\times 5}.

$$\frac{12}{40}$$

Reduce the fraction \frac{12}{40} to lowest terms by extracting and canceling out 4.

$$\frac{3}{10}$$

Factor

$$\frac{3}{2 \cdot 5} = 0.3$$