Solve 1-(5/9+1/36)=5/12

$$1 - ( \frac { 5 } { 9 } + \frac { 1 } { 36 } ) = \frac { 5 } { 12 }$$

Verify

Solution Steps

Least common multiple of 9 and 36 is 36. Convert \frac{5}{9} and \frac{1}{36} to fractions with denominator 36.

$$1-\left(\frac{20}{36}+\frac{1}{36}\right)=\frac{5}{12}$$

Since \frac{20}{36} and \frac{1}{36} have the same denominator, add them by adding their numerators.

$$1-\frac{20+1}{36}=\frac{5}{12}$$

Add 20 and 1 to get 21.

$$1-\frac{21}{36}=\frac{5}{12}$$

Reduce the fraction \frac{21}{36} to lowest terms by extracting and canceling out 3.

$$1-\frac{7}{12}=\frac{5}{12}$$

Convert 1 to fraction \frac{12}{12}.

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

Since \frac{12}{12} and \frac{7}{12} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 7 from 12 to get 5.

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

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

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