Solve 121/2*33/5div14/5=?

$$12 \frac { 1 } { 2 } \times 3 \frac { 3 } { 5 } \div 1 \frac { 4 } { 5 } = ?$$

Evaluate

$$25$$

Solution Steps

Multiply 12 and 2 to get 24.

$$\frac{\frac{24+1}{2}\times \frac{3\times 5+3}{5}}{\frac{1\times 5+4}{5}}$$

Add 24 and 1 to get 25.

$$\frac{\frac{25}{2}\times \frac{3\times 5+3}{5}}{\frac{1\times 5+4}{5}}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{25}{2}\times \frac{15+3}{5}}{\frac{1\times 5+4}{5}}$$

Add 15 and 3 to get 18.

$$\frac{\frac{25}{2}\times \frac{18}{5}}{\frac{1\times 5+4}{5}}$$

Multiply \frac{25}{2} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{25\times 18}{2\times 5}}{\frac{1\times 5+4}{5}}$$

Do the multiplications in the fraction \frac{25\times 18}{2\times 5}.

$$\frac{\frac{450}{10}}{\frac{1\times 5+4}{5}}$$

Divide 450 by 10 to get 45.

$$\frac{45}{\frac{1\times 5+4}{5}}$$

Multiply 1 and 5 to get 5.

$$\frac{45}{\frac{5+4}{5}}$$

Add 5 and 4 to get 9.

$$\frac{45}{\frac{9}{5}}$$

Divide 45 by \frac{9}{5} by multiplying 45 by the reciprocal of \frac{9}{5}.

$$45\times \frac{5}{9}$$

Express 45\times \frac{5}{9} as a single fraction.

$$\frac{45\times 5}{9}$$

Multiply 45 and 5 to get 225.

$$\frac{225}{9}$$

Divide 225 by 9 to get 25.

$$25$$

Factor

$$5^{2}$$