Solve (11/12+5/6)div3+2/3=13/12

$$( \frac { 11 } { 12 } + \frac { 5 } { 6 } ) \div 3 + \frac { 2 } { 3 } = 1 \frac { 3 } { 12 }$$

Verify

Solution Steps

Multiply both sides of the equation by 12, the least common multiple of 3,12.

$$4\left(\frac{11}{12}+\frac{5}{6}\right)+8=1\times 12+3$$

Least common multiple of 12 and 6 is 12. Convert \frac{11}{12} and \frac{5}{6} to fractions with denominator 12.

$$4\left(\frac{11}{12}+\frac{10}{12}\right)+8=1\times 12+3$$

Since \frac{11}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$4\times \frac{11+10}{12}+8=1\times 12+3$$

Add 11 and 10 to get 21.

$$4\times \frac{21}{12}+8=1\times 12+3$$

Reduce the fraction \frac{21}{12} to lowest terms by extracting and canceling out 3.

$$4\times \frac{7}{4}+8=1\times 12+3$$

Cancel out 4 and 4.

$$7+8=1\times 12+3$$

Add 7 and 8 to get 15.

$$15=1\times 12+3$$

Multiply 1 and 12 to get 12.

$$15=12+3$$

Add 12 and 3 to get 15.

$$15=15$$

Compare 15 and 15.

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