Solve 5/6quad7/9quad2/7quad9/10quadfrac{1}{5}quadfrac{11}{20}

$$\frac { 5 } { 6 } \quad \frac { 7 } { 9 } \quad \frac { 2 } { 7 } \quad \frac { 9 } { 10 } \quad \frac { 1 } { 5 } \quad \frac { 11 } { 20 }$$

Evaluate

$$\frac{11}{600}\approx 0.018333333$$

Solution Steps

Multiply \frac{5}{6} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 7}{6\times 9}\times \frac{2}{7}\times \frac{9}{10}\times \frac{1}{5}\times \frac{11}{20}$$

Do the multiplications in the fraction \frac{5\times 7}{6\times 9}.

$$\frac{35}{54}\times \frac{2}{7}\times \frac{9}{10}\times \frac{1}{5}\times \frac{11}{20}$$

Multiply \frac{35}{54} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 2}{54\times 7}\times \frac{9}{10}\times \frac{1}{5}\times \frac{11}{20}$$

Do the multiplications in the fraction \frac{35\times 2}{54\times 7}.

$$\frac{70}{378}\times \frac{9}{10}\times \frac{1}{5}\times \frac{11}{20}$$

Reduce the fraction \frac{70}{378} to lowest terms by extracting and canceling out 14.

$$\frac{5}{27}\times \frac{9}{10}\times \frac{1}{5}\times \frac{11}{20}$$

Multiply \frac{5}{27} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 9}{27\times 10}\times \frac{1}{5}\times \frac{11}{20}$$

Do the multiplications in the fraction \frac{5\times 9}{27\times 10}.

$$\frac{45}{270}\times \frac{1}{5}\times \frac{11}{20}$$

Reduce the fraction \frac{45}{270} to lowest terms by extracting and canceling out 45.

$$\frac{1}{6}\times \frac{1}{5}\times \frac{11}{20}$$

Multiply \frac{1}{6} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{6\times 5}\times \frac{11}{20}$$

Do the multiplications in the fraction \frac{1\times 1}{6\times 5}.

$$\frac{1}{30}\times \frac{11}{20}$$

Multiply \frac{1}{30} times \frac{11}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 11}{30\times 20}$$

Do the multiplications in the fraction \frac{1\times 11}{30\times 20}.

$$\frac{11}{600}$$

Factor

$$\frac{11}{2 ^ {3} \cdot 3 \cdot 5 ^ {2}} = 0.018333333333333333$$