Solve 480/1=256*1/2-1/frac{1{2}-1}

$$\frac { 480 } { 1 } = \frac { 256 \times \frac { 1 } { 2 } - 1 } { \frac { 1 } { 2 } - 1 }$$

Verify

Solution Steps

Anything divided by one gives itself.

$$480=\frac{256\times \frac{1}{2}-1}{\frac{1}{2}-1}$$

Multiply 256 and \frac{1}{2} to get \frac{256}{2}.

$$480=\frac{\frac{256}{2}-1}{\frac{1}{2}-1}$$

Divide 256 by 2 to get 128.

$$480=\frac{128-1}{\frac{1}{2}-1}$$

Subtract 1 from 128 to get 127.

$$480=\frac{127}{\frac{1}{2}-1}$$

Convert 1 to fraction \frac{2}{2}.

$$480=\frac{127}{\frac{1}{2}-\frac{2}{2}}$$

Since \frac{1}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$480=\frac{127}{\frac{1-2}{2}}$$

Subtract 2 from 1 to get -1.

$$480=\frac{127}{-\frac{1}{2}}$$

Divide 127 by -\frac{1}{2} by multiplying 127 by the reciprocal of -\frac{1}{2}.

$$480=127\left(-2\right)$$

Multiply 127 and -2 to get -254.

$$480=-254$$

Compare 480 and -254.

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