Solve 5/6-3/8=1/5-1

$$\frac { 5 } { 6 } - \frac { 3 } { 8 } = \frac { 1 } { 5 } - 1$$

Verify

Solution Steps

Least common multiple of 6 and 8 is 24. Convert \frac{5}{6} and \frac{3}{8} to fractions with denominator 24.

$$\frac{20}{24}-\frac{9}{24}=\frac{1}{5}-1$$

Since \frac{20}{24} and \frac{9}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-9}{24}=\frac{1}{5}-1$$

Subtract 9 from 20 to get 11.

$$\frac{11}{24}=\frac{1}{5}-1$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{11}{24}=\frac{1}{5}-\frac{5}{5}$$

Since \frac{1}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11}{24}=\frac{1-5}{5}$$

Subtract 5 from 1 to get -4.

$$\frac{11}{24}=-\frac{4}{5}$$

Least common multiple of 24 and 5 is 120. Convert \frac{11}{24} and -\frac{4}{5} to fractions with denominator 120.

$$\frac{55}{120}=-\frac{96}{120}$$

Compare \frac{55}{120} and -\frac{96}{120}.

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