Solve 1/4-(-1/6)=10

$$\frac { 1 } { 4 } - ( - \frac { 1 } { 6 } ) = 10$$

Verify

Solution Steps

The opposite of -\frac{1}{6} is \frac{1}{6}.

$$\frac{1}{4}+\frac{1}{6}=10$$

Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{3}{12}+\frac{2}{12}=10$$

Since \frac{3}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{12}=10$$

Add 3 and 2 to get 5.

$$\frac{5}{12}=10$$

Convert 10 to fraction \frac{120}{12}.

$$\frac{5}{12}=\frac{120}{12}$$

Compare \frac{5}{12} and \frac{120}{12}.

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