Solve 2(2*a)11/2:12/5

$$2 ( 2 \cdot a ) 1 \frac { 1 } { 2 } : 1 \frac { 2 } { 5 }$$

Evaluate

$$\frac{30a}{7}$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4a\times \frac{1\times 2+1}{2}}{\frac{1\times 5+2}{5}}$$

Multiply 1 and 2 to get 2.

$$\frac{4a\times \frac{2+1}{2}}{\frac{1\times 5+2}{5}}$$

Add 2 and 1 to get 3.

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

Express 4\times \frac{3}{2} as a single fraction.

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

Multiply 4 and 3 to get 12.

$$\frac{\frac{12}{2}a}{\frac{1\times 5+2}{5}}$$

Divide 12 by 2 to get 6.

$$\frac{6a}{\frac{1\times 5+2}{5}}$$

Multiply 1 and 5 to get 5.

$$\frac{6a}{\frac{5+2}{5}}$$

Add 5 and 2 to get 7.

$$\frac{6a}{\frac{7}{5}}$$

Divide 6a by \frac{7}{5} by multiplying 6a by the reciprocal of \frac{7}{5}.

$$\frac{6a\times 5}{7}$$

Multiply 6 and 5 to get 30.

$$\frac{30a}{7}$$

Expand

$$\frac{30a}{7}$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4a\times \frac{1\times 2+1}{2}}{\frac{1\times 5+2}{5}}$$

Multiply 1 and 2 to get 2.

$$\frac{4a\times \frac{2+1}{2}}{\frac{1\times 5+2}{5}}$$

Add 2 and 1 to get 3.

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

Express 4\times \frac{3}{2} as a single fraction.

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

Multiply 4 and 3 to get 12.

$$\frac{\frac{12}{2}a}{\frac{1\times 5+2}{5}}$$

Divide 12 by 2 to get 6.

$$\frac{6a}{\frac{1\times 5+2}{5}}$$

Multiply 1 and 5 to get 5.

$$\frac{6a}{\frac{5+2}{5}}$$

Add 5 and 2 to get 7.

$$\frac{6a}{\frac{7}{5}}$$

Divide 6a by \frac{7}{5} by multiplying 6a by the reciprocal of \frac{7}{5}.

$$\frac{6a\times 5}{7}$$

Multiply 6 and 5 to get 30.

$$\frac{30a}{7}$$