Solve 5div27/8*102/5

$$5 \div 2 \frac { 7 } { 8 } \times 10 \frac { 2 } { 5 }$$

Evaluate

$$\frac{416}{23}\approx 18.086956522$$

Solution Steps

Divide 5 by \frac{2\times 8+7}{8} by multiplying 5 by the reciprocal of \frac{2\times 8+7}{8}.

$$\frac{5\times 8}{2\times 8+7}\times \frac{10\times 5+2}{5}$$

Multiply 5 and 8 to get 40.

$$\frac{40}{2\times 8+7}\times \frac{10\times 5+2}{5}$$

Multiply 2 and 8 to get 16.

$$\frac{40}{16+7}\times \frac{10\times 5+2}{5}$$

Add 16 and 7 to get 23.

$$\frac{40}{23}\times \frac{10\times 5+2}{5}$$

Multiply 10 and 5 to get 50.

$$\frac{40}{23}\times \frac{50+2}{5}$$

Add 50 and 2 to get 52.

$$\frac{40}{23}\times \frac{52}{5}$$

Multiply \frac{40}{23} times \frac{52}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{40\times 52}{23\times 5}$$

Do the multiplications in the fraction \frac{40\times 52}{23\times 5}.

$$\frac{2080}{115}$$

Reduce the fraction \frac{2080}{115} to lowest terms by extracting and canceling out 5.

$$\frac{416}{23}$$

Factor

$$\frac{2 ^ {5} \cdot 13}{23} = 18\frac{2}{23} = 18.08695652173913$$