Solve 23/4div34/5

$$2 \frac { 3 } { 4 } \div 3 \frac { 4 } { 5 }$$

Evaluate

$$\frac{55}{76}\approx 0.723684211$$

Solution Steps

Divide \frac{2\times 4+3}{4} by \frac{3\times 5+4}{5} by multiplying \frac{2\times 4+3}{4} by the reciprocal of \frac{3\times 5+4}{5}.

$$\frac{\left(2\times 4+3\right)\times 5}{4\left(3\times 5+4\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{\left(8+3\right)\times 5}{4\left(3\times 5+4\right)}$$

Add 8 and 3 to get 11.

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

Multiply 11 and 5 to get 55.

$$\frac{55}{4\left(3\times 5+4\right)}$$

Multiply 3 and 5 to get 15.

$$\frac{55}{4\left(15+4\right)}$$

Add 15 and 4 to get 19.

$$\frac{55}{4\times 19}$$

Multiply 4 and 19 to get 76.

$$\frac{55}{76}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {2} \cdot 19} = 0.7236842105263158$$