Solve 29/10/frac{3{20}}

$$\frac{ 2 \frac{ 9 }{ 10 } }{ \frac{ 3 }{ 20 } }$$

Evaluate

$$\frac{58}{3}\approx 19.333333333$$

Solution Steps

Divide \frac{2\times 10+9}{10} by \frac{3}{20} by multiplying \frac{2\times 10+9}{10} by the reciprocal of \frac{3}{20}.

$$\frac{\left(2\times 10+9\right)\times 20}{10\times 3}$$

Cancel out 10 in both numerator and denominator.

$$\frac{2\left(9+2\times 10\right)}{3}$$

Multiply 2 and 10 to get 20.

$$\frac{2\left(9+20\right)}{3}$$

Add 9 and 20 to get 29.

$$\frac{2\times 29}{3}$$

Multiply 2 and 29 to get 58.

$$\frac{58}{3}$$

Factor

$$\frac{2 \cdot 29}{3} = 19\frac{1}{3} = 19.333333333333332$$