Solve 55/6*21/10div25/8

$$5 \frac { 5 } { 6 } \times 2 \frac { 1 } { 10 } \div 2 \frac { 5 } { 8 }$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{\frac{30+5}{6}\times \frac{2\times 10+1}{10}}{\frac{2\times 8+5}{8}}$$

Add 30 and 5 to get 35.

$$\frac{\frac{35}{6}\times \frac{2\times 10+1}{10}}{\frac{2\times 8+5}{8}}$$

Multiply 2 and 10 to get 20.

$$\frac{\frac{35}{6}\times \frac{20+1}{10}}{\frac{2\times 8+5}{8}}$$

Add 20 and 1 to get 21.

$$\frac{\frac{35}{6}\times \frac{21}{10}}{\frac{2\times 8+5}{8}}$$

Multiply \frac{35}{6} times \frac{21}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{35\times 21}{6\times 10}}{\frac{2\times 8+5}{8}}$$

Do the multiplications in the fraction \frac{35\times 21}{6\times 10}.

$$\frac{\frac{735}{60}}{\frac{2\times 8+5}{8}}$$

Reduce the fraction \frac{735}{60} to lowest terms by extracting and canceling out 15.

$$\frac{\frac{49}{4}}{\frac{2\times 8+5}{8}}$$

Multiply 2 and 8 to get 16.

$$\frac{\frac{49}{4}}{\frac{16+5}{8}}$$

Add 16 and 5 to get 21.

$$\frac{\frac{49}{4}}{\frac{21}{8}}$$

Divide \frac{49}{4} by \frac{21}{8} by multiplying \frac{49}{4} by the reciprocal of \frac{21}{8}.

$$\frac{49}{4}\times \frac{8}{21}$$

Multiply \frac{49}{4} times \frac{8}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 8}{4\times 21}$$

Do the multiplications in the fraction \frac{49\times 8}{4\times 21}.

$$\frac{392}{84}$$

Reduce the fraction \frac{392}{84} to lowest terms by extracting and canceling out 28.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$