Solve 35/27div7/18div27

$$\frac { 35 } { 27 } \div \frac { 7 } { 18 } \div 27$$

Evaluate

$$\frac{10}{81}\approx 0.12345679$$

Solution Steps

Express \frac{\frac{\frac{35}{27}}{\frac{7}{18}}}{27} as a single fraction.

$$\frac{\frac{35}{27}}{\frac{7}{18}\times 27}$$

Express \frac{7}{18}\times 27 as a single fraction.

$$\frac{\frac{35}{27}}{\frac{7\times 27}{18}}$$

Multiply 7 and 27 to get 189.

$$\frac{\frac{35}{27}}{\frac{189}{18}}$$

Reduce the fraction \frac{189}{18} to lowest terms by extracting and canceling out 9.

$$\frac{\frac{35}{27}}{\frac{21}{2}}$$

Divide \frac{35}{27} by \frac{21}{2} by multiplying \frac{35}{27} by the reciprocal of \frac{21}{2}.

$$\frac{35}{27}\times \frac{2}{21}$$

Multiply \frac{35}{27} times \frac{2}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 2}{27\times 21}$$

Do the multiplications in the fraction \frac{35\times 2}{27\times 21}.

$$\frac{70}{567}$$

Reduce the fraction \frac{70}{567} to lowest terms by extracting and canceling out 7.

$$\frac{10}{81}$$

Factor

$$\frac{2 \cdot 5}{3 ^ {4}} = 0.12345679012345678$$