Solve 51/3:3/4

$$5 \frac { 1 } { 3 } : \frac { 3 } { 4 }$$

Evaluate

$$\frac{64}{9}\approx 7.111111111$$

Solution Steps

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

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

Multiply 5 and 3 to get 15.

$$\frac{\left(15+1\right)\times 4}{3\times 3}$$

Add 15 and 1 to get 16.

$$\frac{16\times 4}{3\times 3}$$

Multiply 16 and 4 to get 64.

$$\frac{64}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{64}{9}$$

Factor

$$\frac{2 ^ {6}}{3 ^ {2}} = 7\frac{1}{9} = 7.111111111111111$$