Solve 23/5div3/4

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

Evaluate

$$\frac{52}{15}\approx 3.466666667$$

Solution Steps

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

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

Multiply 2 and 5 to get 10.

$$\frac{\left(10+3\right)\times 4}{5\times 3}$$

Add 10 and 3 to get 13.

$$\frac{13\times 4}{5\times 3}$$

Multiply 13 and 4 to get 52.

$$\frac{52}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$\frac{52}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 13}{3 \cdot 5} = 3\frac{7}{15} = 3.466666666666667$$