Solve 51/3:73/4

$$5 \frac { 1 } { 3 } : 7 \frac { 3 } { 4 }$$

Evaluate

$$\frac{64}{93}\approx 0.688172043$$

Solution Steps

Divide \frac{5\times 3+1}{3} by \frac{7\times 4+3}{4} by multiplying \frac{5\times 3+1}{3} by the reciprocal of \frac{7\times 4+3}{4}.

$$\frac{\left(5\times 3+1\right)\times 4}{3\left(7\times 4+3\right)}$$

Multiply 5 and 3 to get 15.

$$\frac{\left(15+1\right)\times 4}{3\left(7\times 4+3\right)}$$

Add 15 and 1 to get 16.

$$\frac{16\times 4}{3\left(7\times 4+3\right)}$$

Multiply 16 and 4 to get 64.

$$\frac{64}{3\left(7\times 4+3\right)}$$

Multiply 7 and 4 to get 28.

$$\frac{64}{3\left(28+3\right)}$$

Add 28 and 3 to get 31.

$$\frac{64}{3\times 31}$$

Multiply 3 and 31 to get 93.

$$\frac{64}{93}$$

Factor

$$\frac{2 ^ {6}}{3 \cdot 31} = 0.6881720430107527$$