Solve 12div(12+12/5)+1/6=1

$$12 \div ( 12 + \frac { 12 } { 5 } ) + \frac { 1 } { 6 } = 1$$

Verify

Solution Steps

Convert 12 to fraction \frac{60}{5}.

$$\frac{12}{\frac{60}{5}+\frac{12}{5}}+\frac{1}{6}=1$$

Since \frac{60}{5} and \frac{12}{5} have the same denominator, add them by adding their numerators.

$$\frac{12}{\frac{60+12}{5}}+\frac{1}{6}=1$$

Add 60 and 12 to get 72.

$$\frac{12}{\frac{72}{5}}+\frac{1}{6}=1$$

Divide 12 by \frac{72}{5} by multiplying 12 by the reciprocal of \frac{72}{5}.

$$12\times \frac{5}{72}+\frac{1}{6}=1$$

Express 12\times \frac{5}{72} as a single fraction.

$$\frac{12\times 5}{72}+\frac{1}{6}=1$$

Multiply 12 and 5 to get 60.

$$\frac{60}{72}+\frac{1}{6}=1$$

Reduce the fraction \frac{60}{72} to lowest terms by extracting and canceling out 12.

$$\frac{5}{6}+\frac{1}{6}=1$$

Since \frac{5}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+1}{6}=1$$

Add 5 and 1 to get 6.

$$\frac{6}{6}=1$$

Divide 6 by 6 to get 1.

$$1=1$$

Compare 1 and 1.

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