Solve 3/2+5/6=1/8-1

$$\frac { 3 } { 2 } + \frac { 5 } { 6 } = \frac { 1 } { 8 } - 1$$

Verify

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{3}{2} and \frac{5}{6} to fractions with denominator 6.

$$\frac{9}{6}+\frac{5}{6}=\frac{1}{8}-1$$

Since \frac{9}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+5}{6}=\frac{1}{8}-1$$

Add 9 and 5 to get 14.

$$\frac{14}{6}=\frac{1}{8}-1$$

Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.

$$\frac{7}{3}=\frac{1}{8}-1$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{7}{3}=\frac{1}{8}-\frac{8}{8}$$

Since \frac{1}{8} and \frac{8}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{3}=\frac{1-8}{8}$$

Subtract 8 from 1 to get -7.

$$\frac{7}{3}=-\frac{7}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{7}{3} and -\frac{7}{8} to fractions with denominator 24.

$$\frac{56}{24}=-\frac{21}{24}$$

Compare \frac{56}{24} and -\frac{21}{24}.

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