Solve 79/10div84/5

$$7 \frac{ 9 }{ 10 } \div 8 \frac{ 4 }{ 5 }$$

Evaluate

$$\frac{79}{88}\approx 0.897727273$$

Solution Steps

Divide \frac{7\times 10+9}{10} by \frac{8\times 5+4}{5} by multiplying \frac{7\times 10+9}{10} by the reciprocal of \frac{8\times 5+4}{5}.

$$\frac{\left(7\times 10+9\right)\times 5}{10\left(8\times 5+4\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{9+7\times 10}{2\left(4+5\times 8\right)}$$

Multiply 7 and 10 to get 70.

$$\frac{9+70}{2\left(4+5\times 8\right)}$$

Add 9 and 70 to get 79.

$$\frac{79}{2\left(4+5\times 8\right)}$$

Multiply 5 and 8 to get 40.

$$\frac{79}{2\left(4+40\right)}$$

Add 4 and 40 to get 44.

$$\frac{79}{2\times 44}$$

Multiply 2 and 44 to get 88.

$$\frac{79}{88}$$

Factor

$$\frac{79}{2 ^ {3} \cdot 11} = 0.8977272727272727$$