Solve 8/12div211/12=

$$\frac { 8 } { 12 } \div 2 \frac { 11 } { 12 } =$$

Evaluate

$$\frac{8}{35}\approx 0.228571429$$

Solution Steps

Divide \frac{8}{12} by \frac{2\times 12+11}{12} by multiplying \frac{8}{12} by the reciprocal of \frac{2\times 12+11}{12}.

$$\frac{8\times 12}{12\left(2\times 12+11\right)}$$

Cancel out 3\times 4 in both numerator and denominator.

$$\frac{2\times 4}{11+2\times 12}$$

Multiply 2 and 4 to get 8.

$$\frac{8}{11+2\times 12}$$

Multiply 2 and 12 to get 24.

$$\frac{8}{11+24}$$

Add 11 and 24 to get 35.

$$\frac{8}{35}$$

Factor

$$\frac{2 ^ {3}}{5 \cdot 7} = 0.22857142857142856$$