Solve 9/25/4/frac{1{4}11/3}

$$\frac{ \frac{ 9 }{ 2 } \frac{ 5 }{ 4 } }{ \frac{ 1 }{ 4 } \frac{ 11 }{ 3 } }$$

Evaluate

$$\frac{135}{22}\approx 6.136363636$$

Solution Steps

Multiply \frac{9}{2} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{9\times 5}{2\times 4}}{\frac{1}{4}\times \frac{11}{3}}$$

Do the multiplications in the fraction \frac{9\times 5}{2\times 4}.

$$\frac{\frac{45}{8}}{\frac{1}{4}\times \frac{11}{3}}$$

Multiply \frac{1}{4} times \frac{11}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{45}{8}}{\frac{1\times 11}{4\times 3}}$$

Do the multiplications in the fraction \frac{1\times 11}{4\times 3}.

$$\frac{\frac{45}{8}}{\frac{11}{12}}$$

Divide \frac{45}{8} by \frac{11}{12} by multiplying \frac{45}{8} by the reciprocal of \frac{11}{12}.

$$\frac{45}{8}\times \frac{12}{11}$$

Multiply \frac{45}{8} times \frac{12}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 12}{8\times 11}$$

Do the multiplications in the fraction \frac{45\times 12}{8\times 11}.

$$\frac{540}{88}$$

Reduce the fraction \frac{540}{88} to lowest terms by extracting and canceling out 4.

$$\frac{135}{22}$$

Factor

$$\frac{3 ^ {3} \cdot 5}{2 \cdot 11} = 6\frac{3}{22} = 6.136363636363637$$