Solve 44/5div33/11

$$4 \frac{ 4 }{ 5 } \div 3 \frac{ 3 }{ 11 }$$

Evaluate

$$\frac{22}{15}\approx 1.466666667$$

Solution Steps

Divide \frac{4\times 5+4}{5} by \frac{3\times 11+3}{11} by multiplying \frac{4\times 5+4}{5} by the reciprocal of \frac{3\times 11+3}{11}.

$$\frac{\left(4\times 5+4\right)\times 11}{5\left(3\times 11+3\right)}$$

Multiply 4 and 5 to get 20.

$$\frac{\left(20+4\right)\times 11}{5\left(3\times 11+3\right)}$$

Add 20 and 4 to get 24.

$$\frac{24\times 11}{5\left(3\times 11+3\right)}$$

Multiply 24 and 11 to get 264.

$$\frac{264}{5\left(3\times 11+3\right)}$$

Multiply 3 and 11 to get 33.

$$\frac{264}{5\left(33+3\right)}$$

Add 33 and 3 to get 36.

$$\frac{264}{5\times 36}$$

Multiply 5 and 36 to get 180.

$$\frac{264}{180}$$

Reduce the fraction \frac{264}{180} to lowest terms by extracting and canceling out 12.

$$\frac{22}{15}$$

Factor

$$\frac{2 \cdot 11}{3 \cdot 5} = 1\frac{7}{15} = 1.4666666666666666$$