Solve 7/9div5/18*3/4

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

Evaluate

$$\frac{21}{10}=2.1$$

Solution Steps

Divide \frac{7}{9} by \frac{5}{18} by multiplying \frac{7}{9} by the reciprocal of \frac{5}{18}.

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

Multiply \frac{7}{9} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{7\times 18}{9\times 5}.

$$\frac{126}{45}\times \frac{3}{4}$$

Reduce the fraction \frac{126}{45} to lowest terms by extracting and canceling out 9.

$$\frac{14}{5}\times \frac{3}{4}$$

Multiply \frac{14}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 3}{5\times 4}$$

Do the multiplications in the fraction \frac{14\times 3}{5\times 4}.

$$\frac{42}{20}$$

Reduce the fraction \frac{42}{20} to lowest terms by extracting and canceling out 2.

$$\frac{21}{10}$$

Factor

$$\frac{3 \cdot 7}{2 \cdot 5} = 2\frac{1}{10} = 2.1$$