Solve 3+4/frac{1{2}}-41/2/frac{1{2}}

$$\frac{ 3+4 }{ \frac{ 1 }{ 2 } } - \frac{ 4 \frac{ 1 }{ 2 } }{ \frac{ 1 }{ 2 } }$$

Evaluate

$$5$$

Solution Steps

Add 3 and 4 to get 7.

$$\frac{7}{\frac{1}{2}}-\frac{\frac{4\times 2+1}{2}}{\frac{1}{2}}$$

Divide 7 by \frac{1}{2} by multiplying 7 by the reciprocal of \frac{1}{2}.

$$7\times 2-\frac{\frac{4\times 2+1}{2}}{\frac{1}{2}}$$

Multiply 7 and 2 to get 14.

$$14-\frac{\frac{4\times 2+1}{2}}{\frac{1}{2}}$$

Divide \frac{4\times 2+1}{2} by \frac{1}{2} by multiplying \frac{4\times 2+1}{2} by the reciprocal of \frac{1}{2}.

$$14-\frac{\left(4\times 2+1\right)\times 2}{2}$$

Cancel out 2 and 2.

$$14-\left(4\times 2+1\right)$$

To find the opposite of 4\times 2+1, find the opposite of each term.

$$14-4\times 2-1$$

Multiply -4 and 2 to get -8.

$$14-8-1$$

Subtract 1 from -8 to get -9.

$$14-9$$

Subtract 9 from 14 to get 5.

$$5$$

Factor

$$5$$