Solve 121div(13/4*2/9)

$$121 \div ( 1 \frac { 3 } { 4 } \times \frac { 2 } { 9 } )$$

Evaluate

$$\frac{2178}{7}\approx 311.142857143$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{121}{\frac{4+3}{4}\times \frac{2}{9}}$$

Add 4 and 3 to get 7.

$$\frac{121}{\frac{7}{4}\times \frac{2}{9}}$$

Multiply \frac{7}{4} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{121}{\frac{7\times 2}{4\times 9}}$$

Do the multiplications in the fraction \frac{7\times 2}{4\times 9}.

$$\frac{121}{\frac{14}{36}}$$

Reduce the fraction \frac{14}{36} to lowest terms by extracting and canceling out 2.

$$\frac{121}{\frac{7}{18}}$$

Divide 121 by \frac{7}{18} by multiplying 121 by the reciprocal of \frac{7}{18}.

$$121\times \frac{18}{7}$$

Express 121\times \frac{18}{7} as a single fraction.

$$\frac{121\times 18}{7}$$

Multiply 121 and 18 to get 2178.

$$\frac{2178}{7}$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 11 ^ {2}}{7} = 311\frac{1}{7} = 311.14285714285717$$