Solve 5/9div5/8div18/35

$$\frac { 5 } { 9 } \div \frac { 5 } { 8 } \div \frac { 18 } { 35 }$$

Evaluate

$$\frac{140}{81}\approx 1.728395062$$

Solution Steps

Divide \frac{\frac{5}{9}}{\frac{5}{8}} by \frac{18}{35} by multiplying \frac{\frac{5}{9}}{\frac{5}{8}} by the reciprocal of \frac{18}{35}.

$$\frac{\frac{5}{9}\times 35}{\frac{5}{8}\times 18}$$

Express \frac{5}{9}\times 35 as a single fraction.

$$\frac{\frac{5\times 35}{9}}{\frac{5}{8}\times 18}$$

Multiply 5 and 35 to get 175.

$$\frac{\frac{175}{9}}{\frac{5}{8}\times 18}$$

Express \frac{5}{8}\times 18 as a single fraction.

$$\frac{\frac{175}{9}}{\frac{5\times 18}{8}}$$

Multiply 5 and 18 to get 90.

$$\frac{\frac{175}{9}}{\frac{90}{8}}$$

Reduce the fraction \frac{90}{8} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{175}{9}}{\frac{45}{4}}$$

Divide \frac{175}{9} by \frac{45}{4} by multiplying \frac{175}{9} by the reciprocal of \frac{45}{4}.

$$\frac{175}{9}\times \frac{4}{45}$$

Multiply \frac{175}{9} times \frac{4}{45} by multiplying numerator times numerator and denominator times denominator.

$$\frac{175\times 4}{9\times 45}$$

Do the multiplications in the fraction \frac{175\times 4}{9\times 45}.

$$\frac{700}{405}$$

Reduce the fraction \frac{700}{405} to lowest terms by extracting and canceling out 5.

$$\frac{140}{81}$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 7}{3 ^ {4}} = 1\frac{59}{81} = 1.728395061728395$$