Solve 23/4div97/10

$$2 \frac { 3 } { 4 } \div 9 \frac { 7 } { 10 }$$

Evaluate

$$\frac{55}{194}\approx 0.283505155$$

Solution Steps

Divide \frac{2\times 4+3}{4} by \frac{9\times 10+7}{10} by multiplying \frac{2\times 4+3}{4} by the reciprocal of \frac{9\times 10+7}{10}.

$$\frac{\left(2\times 4+3\right)\times 10}{4\left(9\times 10+7\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{5\left(3+2\times 4\right)}{2\left(7+9\times 10\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{5\left(3+8\right)}{2\left(7+9\times 10\right)}$$

Add 3 and 8 to get 11.

$$\frac{5\times 11}{2\left(7+9\times 10\right)}$$

Multiply 5 and 11 to get 55.

$$\frac{55}{2\left(7+9\times 10\right)}$$

Multiply 9 and 10 to get 90.

$$\frac{55}{2\left(7+90\right)}$$

Add 7 and 90 to get 97.

$$\frac{55}{2\times 97}$$

Multiply 2 and 97 to get 194.

$$\frac{55}{194}$$

Factor

$$\frac{5 \cdot 11}{2 \cdot 97} = 0.28350515463917525$$