Solve 41/3div25/6

$$4 \frac { 1 } { 3 } \div 2 \frac { 5 } { 6 }$$

Evaluate

$$\frac{26}{17}\approx 1.529411765$$

Solution Steps

Divide \frac{4\times 3+1}{3} by \frac{2\times 6+5}{6} by multiplying \frac{4\times 3+1}{3} by the reciprocal of \frac{2\times 6+5}{6}.

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

Cancel out 3 in both numerator and denominator.

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

Multiply 3 and 4 to get 12.

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

Add 1 and 12 to get 13.

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

Multiply 2 and 13 to get 26.

$$\frac{26}{5+2\times 6}$$

Multiply 2 and 6 to get 12.

$$\frac{26}{5+12}$$

Add 5 and 12 to get 17.

$$\frac{26}{17}$$

Factor

$$\frac{2 \cdot 13}{17} = 1\frac{9}{17} = 1.5294117647058822$$