Solve 9div2*87div9/18div7*5*5div4

$$\frac { 9 \div 2 \times 87 \div 9 } { 18 \div 7 \cdot 5 \times 5 \div 4 }$$

Evaluate

$$\frac{203}{75}\approx 2.706666667$$

Solution Steps

Divide \frac{\frac{9}{2}\times 87}{9} by \frac{\frac{18}{7}\times 5\times 5}{4} by multiplying \frac{\frac{9}{2}\times 87}{9} by the reciprocal of \frac{\frac{18}{7}\times 5\times 5}{4}.

$$\frac{\frac{9}{2}\times 87\times 4}{9\times \frac{18}{7}\times 5\times 5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{4\times \frac{9}{2}\times 29}{\frac{18}{7}\times 3\times 5\times 5}$$

Express 4\times \frac{9}{2} as a single fraction.

$$\frac{\frac{4\times 9}{2}\times 29}{\frac{18}{7}\times 3\times 5\times 5}$$

Multiply 4 and 9 to get 36.

$$\frac{\frac{36}{2}\times 29}{\frac{18}{7}\times 3\times 5\times 5}$$

Divide 36 by 2 to get 18.

$$\frac{18\times 29}{\frac{18}{7}\times 3\times 5\times 5}$$

Multiply 18 and 29 to get 522.

$$\frac{522}{\frac{18}{7}\times 3\times 5\times 5}$$

Express \frac{18}{7}\times 3 as a single fraction.

$$\frac{522}{\frac{18\times 3}{7}\times 5\times 5}$$

Multiply 18 and 3 to get 54.

$$\frac{522}{\frac{54}{7}\times 5\times 5}$$

Express \frac{54}{7}\times 5 as a single fraction.

$$\frac{522}{\frac{54\times 5}{7}\times 5}$$

Multiply 54 and 5 to get 270.

$$\frac{522}{\frac{270}{7}\times 5}$$

Express \frac{270}{7}\times 5 as a single fraction.

$$\frac{522}{\frac{270\times 5}{7}}$$

Multiply 270 and 5 to get 1350.

$$\frac{522}{\frac{1350}{7}}$$

Divide 522 by \frac{1350}{7} by multiplying 522 by the reciprocal of \frac{1350}{7}.

$$522\times \frac{7}{1350}$$

Express 522\times \frac{7}{1350} as a single fraction.

$$\frac{522\times 7}{1350}$$

Multiply 522 and 7 to get 3654.

$$\frac{3654}{1350}$$

Reduce the fraction \frac{3654}{1350} to lowest terms by extracting and canceling out 18.

$$\frac{203}{75}$$

Factor

$$\frac{7 \cdot 29}{3 \cdot 5 ^ {2}} = 2\frac{53}{75} = 2.7066666666666666$$