Solve (92/3)div(23/4)

$$( 9 \frac { 2 } { 3 } ) \div ( 2 \frac { 3 } { 4 } )$$

Evaluate

$$\frac{116}{33}\approx 3.515151515$$

Solution Steps

Divide \frac{9\times 3+2}{3} by \frac{2\times 4+3}{4} by multiplying \frac{9\times 3+2}{3} by the reciprocal of \frac{2\times 4+3}{4}.

$$\frac{\left(9\times 3+2\right)\times 4}{3\left(2\times 4+3\right)}$$

Multiply 9 and 3 to get 27.

$$\frac{\left(27+2\right)\times 4}{3\left(2\times 4+3\right)}$$

Add 27 and 2 to get 29.

$$\frac{29\times 4}{3\left(2\times 4+3\right)}$$

Multiply 29 and 4 to get 116.

$$\frac{116}{3\left(2\times 4+3\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{116}{3\left(8+3\right)}$$

Add 8 and 3 to get 11.

$$\frac{116}{3\times 11}$$

Multiply 3 and 11 to get 33.

$$\frac{116}{33}$$

Factor

$$\frac{2 ^ {2} \cdot 29}{3 \cdot 11} = 3\frac{17}{33} = 3.515151515151515$$