Solve 193/4div96/10

$$19 \frac { 3 } { 4 } \div \frac { 96 } { 10 }$$

Evaluate

$$\frac{395}{192}\approx 2.057291667$$

Solution Steps

Divide \frac{19\times 4+3}{4} by \frac{96}{10} by multiplying \frac{19\times 4+3}{4} by the reciprocal of \frac{96}{10}.

$$\frac{\left(19\times 4+3\right)\times 10}{4\times 96}$$

Cancel out 2 in both numerator and denominator.

$$\frac{5\left(3+4\times 19\right)}{2\times 96}$$

Multiply 4 and 19 to get 76.

$$\frac{5\left(3+76\right)}{2\times 96}$$

Add 3 and 76 to get 79.

$$\frac{5\times 79}{2\times 96}$$

Multiply 5 and 79 to get 395.

$$\frac{395}{2\times 96}$$

Multiply 2 and 96 to get 192.

$$\frac{395}{192}$$

Factor

$$\frac{5 \cdot 79}{2 ^ {6} \cdot 3} = 2\frac{11}{192} = 2.0572916666666665$$