Solve 11/6-17/9div8/4*3/10

$$1 \frac { 1 } { 6 } - 1 \frac { 7 } { 9 } \div \frac { 8 } { 4 } \times \frac { 3 } { 10 }$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{6+1}{6}-\frac{\frac{1\times 9+7}{9}}{\frac{8}{4}}\times \frac{3}{10}$$

Add 6 and 1 to get 7.

$$\frac{7}{6}-\frac{\frac{1\times 9+7}{9}}{\frac{8}{4}}\times \frac{3}{10}$$

Divide \frac{1\times 9+7}{9} by \frac{8}{4} by multiplying \frac{1\times 9+7}{9} by the reciprocal of \frac{8}{4}.

$$\frac{7}{6}-\frac{\left(1\times 9+7\right)\times 4}{9\times 8}\times \frac{3}{10}$$

Cancel out 4 in both numerator and denominator.

$$\frac{7}{6}-\frac{7+9}{2\times 9}\times \frac{3}{10}$$

Add 7 and 9 to get 16.

$$\frac{7}{6}-\frac{16}{2\times 9}\times \frac{3}{10}$$

Multiply 2 and 9 to get 18.

$$\frac{7}{6}-\frac{16}{18}\times \frac{3}{10}$$

Reduce the fraction \frac{16}{18} to lowest terms by extracting and canceling out 2.

$$\frac{7}{6}-\frac{8}{9}\times \frac{3}{10}$$

Multiply \frac{8}{9} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{6}-\frac{8\times 3}{9\times 10}$$

Do the multiplications in the fraction \frac{8\times 3}{9\times 10}.

$$\frac{7}{6}-\frac{24}{90}$$

Reduce the fraction \frac{24}{90} to lowest terms by extracting and canceling out 6.

$$\frac{7}{6}-\frac{4}{15}$$

Least common multiple of 6 and 15 is 30. Convert \frac{7}{6} and \frac{4}{15} to fractions with denominator 30.

$$\frac{35}{30}-\frac{8}{30}$$

Since \frac{35}{30} and \frac{8}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-8}{30}$$

Subtract 8 from 35 to get 27.

$$\frac{27}{30}$$

Reduce the fraction \frac{27}{30} to lowest terms by extracting and canceling out 3.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$