Solve 2*18/5-(5-2*18/5)=5

$$2 \times \frac{ 18 }{ 5 } -(5-2 \times \frac{ 18 }{ 5 } ) = 5$$

Verify

Solution Steps

Express 2\times \frac{18}{5} as a single fraction.

$$\frac{2\times 18}{5}-\left(5-2\times \frac{18}{5}\right)=5$$

Multiply 2 and 18 to get 36.

$$\frac{36}{5}-\left(5-2\times \frac{18}{5}\right)=5$$

Express 2\times \frac{18}{5} as a single fraction.

$$\frac{36}{5}-\left(5-\frac{2\times 18}{5}\right)=5$$

Multiply 2 and 18 to get 36.

$$\frac{36}{5}-\left(5-\frac{36}{5}\right)=5$$

Convert 5 to fraction \frac{25}{5}.

$$\frac{36}{5}-\left(\frac{25}{5}-\frac{36}{5}\right)=5$$

Since \frac{25}{5} and \frac{36}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36}{5}-\frac{25-36}{5}=5$$

Subtract 36 from 25 to get -11.

$$\frac{36}{5}-\left(-\frac{11}{5}\right)=5$$

The opposite of -\frac{11}{5} is \frac{11}{5}.

$$\frac{36}{5}+\frac{11}{5}=5$$

Since \frac{36}{5} and \frac{11}{5} have the same denominator, add them by adding their numerators.

$$\frac{36+11}{5}=5$$

Add 36 and 11 to get 47.

$$\frac{47}{5}=5$$

Convert 5 to fraction \frac{25}{5}.

$$\frac{47}{5}=\frac{25}{5}$$

Compare \frac{47}{5} and \frac{25}{5}.

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