Solve 14/5div11/3

$$1 \frac { 4 } { 5 } \div 1 \frac { 1 } { 3 }$$

Evaluate

$$\frac{27}{20}=1.35$$

Solution Steps

Divide \frac{1\times 5+4}{5} by \frac{1\times 3+1}{3} by multiplying \frac{1\times 5+4}{5} by the reciprocal of \frac{1\times 3+1}{3}.

$$\frac{\left(1\times 5+4\right)\times 3}{5\left(1\times 3+1\right)}$$

Multiply 1 and 5 to get 5.

$$\frac{\left(5+4\right)\times 3}{5\left(1\times 3+1\right)}$$

Add 5 and 4 to get 9.

$$\frac{9\times 3}{5\left(1\times 3+1\right)}$$

Multiply 9 and 3 to get 27.

$$\frac{27}{5\left(1\times 3+1\right)}$$

Multiply 1 and 3 to get 3.

$$\frac{27}{5\left(3+1\right)}$$

Add 3 and 1 to get 4.

$$\frac{27}{5\times 4}$$

Multiply 5 and 4 to get 20.

$$\frac{27}{20}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2} \cdot 5} = 1\frac{7}{20} = 1.35$$