Solve 2/3=(3/2)-1

$$\frac{ 2 }{ 3 } =( \frac{ 3 }{ 2 } )-1$$

Verify

Solution Steps

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

$$\frac{2}{3}=\frac{3}{2}-\frac{2}{2}$$

Since \frac{3}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}=\frac{3-2}{2}$$

Subtract 2 from 3 to get 1.

$$\frac{2}{3}=\frac{1}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{2}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{4}{6}=\frac{3}{6}$$

Compare \frac{4}{6} and \frac{3}{6}.

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