Solve 21/4div23/5

$$2 \frac { 1 } { 4 } \div 2 \frac { 3 } { 5 }$$

Evaluate

$$\frac{45}{52}\approx 0.865384615$$

Solution Steps

Divide \frac{2\times 4+1}{4} by \frac{2\times 5+3}{5} by multiplying \frac{2\times 4+1}{4} by the reciprocal of \frac{2\times 5+3}{5}.

$$\frac{\left(2\times 4+1\right)\times 5}{4\left(2\times 5+3\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{\left(8+1\right)\times 5}{4\left(2\times 5+3\right)}$$

Add 8 and 1 to get 9.

$$\frac{9\times 5}{4\left(2\times 5+3\right)}$$

Multiply 9 and 5 to get 45.

$$\frac{45}{4\left(2\times 5+3\right)}$$

Multiply 2 and 5 to get 10.

$$\frac{45}{4\left(10+3\right)}$$

Add 10 and 3 to get 13.

$$\frac{45}{4\times 13}$$

Multiply 4 and 13 to get 52.

$$\frac{45}{52}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2} \cdot 13} = 0.8653846153846154$$