Solve 44/12div4/5=

$$4 \frac { 4 } { 12 } \div \frac { 4 } { 5 } =$$

Evaluate

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

Solution Steps

Divide \frac{4\times 12+4}{12} by \frac{4}{5} by multiplying \frac{4\times 12+4}{12} by the reciprocal of \frac{4}{5}.

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

Multiply 4 and 12 to get 48.

$$\frac{\left(48+4\right)\times 5}{12\times 4}$$

Add 48 and 4 to get 52.

$$\frac{52\times 5}{12\times 4}$$

Multiply 52 and 5 to get 260.

$$\frac{260}{12\times 4}$$

Multiply 12 and 4 to get 48.

$$\frac{260}{48}$$

Reduce the fraction \frac{260}{48} to lowest terms by extracting and canceling out 4.

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

Factor

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