Solve 11/6+21/6*1/2-5/9=

$$1 \frac { 1 } { 6 } + 2 \frac { 1 } { 6 } \times \frac { 1 } { 2 } - \frac { 5 } { 9 } =$$

Evaluate

$$\frac{61}{36}\approx 1.694444444$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{6+1}{6}+\frac{2\times 6+1}{6}\times \frac{1}{2}-\frac{5}{9}$$

Add 6 and 1 to get 7.

$$\frac{7}{6}+\frac{2\times 6+1}{6}\times \frac{1}{2}-\frac{5}{9}$$

Multiply 2 and 6 to get 12.

$$\frac{7}{6}+\frac{12+1}{6}\times \frac{1}{2}-\frac{5}{9}$$

Add 12 and 1 to get 13.

$$\frac{7}{6}+\frac{13}{6}\times \frac{1}{2}-\frac{5}{9}$$

Multiply \frac{13}{6} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{6}+\frac{13\times 1}{6\times 2}-\frac{5}{9}$$

Do the multiplications in the fraction \frac{13\times 1}{6\times 2}.

$$\frac{7}{6}+\frac{13}{12}-\frac{5}{9}$$

Least common multiple of 6 and 12 is 12. Convert \frac{7}{6} and \frac{13}{12} to fractions with denominator 12.

$$\frac{14}{12}+\frac{13}{12}-\frac{5}{9}$$

Since \frac{14}{12} and \frac{13}{12} have the same denominator, add them by adding their numerators.

$$\frac{14+13}{12}-\frac{5}{9}$$

Add 14 and 13 to get 27.

$$\frac{27}{12}-\frac{5}{9}$$

Reduce the fraction \frac{27}{12} to lowest terms by extracting and canceling out 3.

$$\frac{9}{4}-\frac{5}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{9}{4} and \frac{5}{9} to fractions with denominator 36.

$$\frac{81}{36}-\frac{20}{36}$$

Since \frac{81}{36} and \frac{20}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-20}{36}$$

Subtract 20 from 81 to get 61.

$$\frac{61}{36}$$

Factor

$$\frac{61}{2 ^ {2} \cdot 3 ^ {2}} = 1\frac{25}{36} = 1.6944444444444444$$