Solve 1/2+6-1/(2+6)^2=5/12-5/18

$$\frac { 1 } { 2 + 6 } - \frac { 1 } { ( 2 + 6 ) ^ { 2 } } = \frac { 5 } { 12 } - \frac { 5 } { 18 }$$

Verify

Solution Steps

Add 2 and 6 to get 8.

$$\frac{1}{8}-\frac{1}{\left(2+6\right)^{2}}=\frac{5}{12}-\frac{5}{18}$$

Add 2 and 6 to get 8.

$$\frac{1}{8}-\frac{1}{8^{2}}=\frac{5}{12}-\frac{5}{18}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{1}{8}-\frac{1}{64}=\frac{5}{12}-\frac{5}{18}$$

Subtract \frac{1}{64} from \frac{1}{8} to get \frac{7}{64}.

$$\frac{7}{64}=\frac{5}{12}-\frac{5}{18}$$

Subtract \frac{5}{18} from \frac{5}{12} to get \frac{5}{36}.

$$\frac{7}{64}=\frac{5}{36}$$

Least common multiple of 64 and 36 is 576. Convert \frac{7}{64} and \frac{5}{36} to fractions with denominator 576.

$$\frac{63}{576}=\frac{80}{576}$$

Compare \frac{63}{576} and \frac{80}{576}.

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