Solve 102/3div41/3

$$10 \frac { 2 } { 3 } \div 4 \frac { 1 } { 3 }$$

Evaluate

$$\frac{32}{13}\approx 2.461538462$$

Solution Steps

Divide \frac{10\times 3+2}{3} by \frac{4\times 3+1}{3} by multiplying \frac{10\times 3+2}{3} by the reciprocal of \frac{4\times 3+1}{3}.

$$\frac{\left(10\times 3+2\right)\times 3}{3\left(4\times 3+1\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2+3\times 10}{1+3\times 4}$$

Multiply 3 and 10 to get 30.

$$\frac{2+30}{1+3\times 4}$$

Add 2 and 30 to get 32.

$$\frac{32}{1+3\times 4}$$

Multiply 3 and 4 to get 12.

$$\frac{32}{1+12}$$

Add 1 and 12 to get 13.

$$\frac{32}{13}$$

Factor

$$\frac{2 ^ {5}}{13} = 2\frac{6}{13} = 2.4615384615384617$$