Solve 77/24{frac{7/120}}

$$\frac{ 77 }{ \frac{ 24 }{ \frac{ 7 }{ 120 } } }$$

Evaluate

$$\frac{539}{2880}\approx 0.187152778$$

Solution Steps

Divide 77 by \frac{24}{\frac{7}{120}} by multiplying 77 by the reciprocal of \frac{24}{\frac{7}{120}}.

$$\frac{77\times \frac{7}{120}}{24}$$

Express 77\times \frac{7}{120} as a single fraction.

$$\frac{\frac{77\times 7}{120}}{24}$$

Multiply 77 and 7 to get 539.

$$\frac{\frac{539}{120}}{24}$$

Express \frac{\frac{539}{120}}{24} as a single fraction.

$$\frac{539}{120\times 24}$$

Multiply 120 and 24 to get 2880.

$$\frac{539}{2880}$$

Factor

$$\frac{7 ^ {2} \cdot 11}{2 ^ {6} \cdot 3 ^ {2} \cdot 5} = 0.18715277777777778$$