Solve 31/3div11/4

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

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

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

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

Multiply 3 and 3 to get 9.

$$\frac{\left(9+1\right)\times 4}{3\left(1\times 4+1\right)}$$

Add 9 and 1 to get 10.

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

Multiply 10 and 4 to get 40.

$$\frac{40}{3\left(1\times 4+1\right)}$$

Multiply 1 and 4 to get 4.

$$\frac{40}{3\left(4+1\right)}$$

Add 4 and 1 to get 5.

$$\frac{40}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{40}{15}$$

Reduce the fraction \frac{40}{15} to lowest terms by extracting and canceling out 5.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$