Solve 41/6*21/2div12/3

$$4 \frac { 1 } { 6 } \times 2 \frac { 1 } { 2 } \div 1 \frac { 2 } { 3 }$$

Evaluate

$$\frac{25}{4}=6.25$$

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{\frac{24+1}{6}\times \frac{2\times 2+1}{2}}{\frac{1\times 3+2}{3}}$$

Add 24 and 1 to get 25.

$$\frac{\frac{25}{6}\times \frac{2\times 2+1}{2}}{\frac{1\times 3+2}{3}}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{25}{6}\times \frac{4+1}{2}}{\frac{1\times 3+2}{3}}$$

Add 4 and 1 to get 5.

$$\frac{\frac{25}{6}\times \frac{5}{2}}{\frac{1\times 3+2}{3}}$$

Multiply \frac{25}{6} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{25\times 5}{6\times 2}}{\frac{1\times 3+2}{3}}$$

Do the multiplications in the fraction \frac{25\times 5}{6\times 2}.

$$\frac{\frac{125}{12}}{\frac{1\times 3+2}{3}}$$

Multiply 1 and 3 to get 3.

$$\frac{\frac{125}{12}}{\frac{3+2}{3}}$$

Add 3 and 2 to get 5.

$$\frac{\frac{125}{12}}{\frac{5}{3}}$$

Divide \frac{125}{12} by \frac{5}{3} by multiplying \frac{125}{12} by the reciprocal of \frac{5}{3}.

$$\frac{125}{12}\times \frac{3}{5}$$

Multiply \frac{125}{12} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{125\times 3}{12\times 5}$$

Do the multiplications in the fraction \frac{125\times 3}{12\times 5}.

$$\frac{375}{60}$$

Reduce the fraction \frac{375}{60} to lowest terms by extracting and canceling out 15.

$$\frac{25}{4}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2}} = 6\frac{1}{4} = 6.25$$