Solve 41/3div51/6

$$4 \frac { 1 } { 3 } \div 5 \frac { 1 } { 6 }$$

Evaluate

$$\frac{26}{31}\approx 0.838709677$$

Solution Steps

Divide \frac{4\times 3+1}{3} by \frac{5\times 6+1}{6} by multiplying \frac{4\times 3+1}{3} by the reciprocal of \frac{5\times 6+1}{6}.

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

Cancel out 3 in both numerator and denominator.

$$\frac{2\left(1+3\times 4\right)}{1+5\times 6}$$

Multiply 3 and 4 to get 12.

$$\frac{2\left(1+12\right)}{1+5\times 6}$$

Add 1 and 12 to get 13.

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

Multiply 2 and 13 to get 26.

$$\frac{26}{1+5\times 6}$$

Multiply 5 and 6 to get 30.

$$\frac{26}{1+30}$$

Add 1 and 30 to get 31.

$$\frac{26}{31}$$

Factor

$$\frac{2 \cdot 13}{31} = 0.8387096774193549$$