Solve 31/4div3/5

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

Evaluate

$$\frac{65}{12}\approx 5.416666667$$

Solution Steps

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

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

Multiply 3 and 4 to get 12.

$$\frac{\left(12+1\right)\times 5}{4\times 3}$$

Add 12 and 1 to get 13.

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

Multiply 13 and 5 to get 65.

$$\frac{65}{4\times 3}$$

Multiply 4 and 3 to get 12.

$$\frac{65}{12}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {2} \cdot 3} = 5\frac{5}{12} = 5.416666666666667$$