Solve 4+5+3.5+34div9+6.5/5+6+5+5+7

$$\frac{ 4+5+3.5+34 \div 9+6.5 }{ 5+6+5+5+7 }$$

Evaluate

$$\frac{205}{252}\approx 0.813492063$$

Solution Steps

Add 4 and 5 to get 9.

$$\frac{9+3.5+\frac{34}{9}+6.5}{5+6+5+5+7}$$

Add 9 and 3.5 to get 12.5.

$$\frac{12.5+\frac{34}{9}+6.5}{5+6+5+5+7}$$

Convert decimal number 12.5 to fraction \frac{125}{10}. Reduce the fraction \frac{125}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{25}{2}+\frac{34}{9}+6.5}{5+6+5+5+7}$$

Least common multiple of 2 and 9 is 18. Convert \frac{25}{2} and \frac{34}{9} to fractions with denominator 18.

$$\frac{\frac{225}{18}+\frac{68}{18}+6.5}{5+6+5+5+7}$$

Since \frac{225}{18} and \frac{68}{18} have the same denominator, add them by adding their numerators.

$$\frac{\frac{225+68}{18}+6.5}{5+6+5+5+7}$$

Add 225 and 68 to get 293.

$$\frac{\frac{293}{18}+6.5}{5+6+5+5+7}$$

Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{293}{18}+\frac{13}{2}}{5+6+5+5+7}$$

Least common multiple of 18 and 2 is 18. Convert \frac{293}{18} and \frac{13}{2} to fractions with denominator 18.

$$\frac{\frac{293}{18}+\frac{117}{18}}{5+6+5+5+7}$$

Since \frac{293}{18} and \frac{117}{18} have the same denominator, add them by adding their numerators.

$$\frac{\frac{293+117}{18}}{5+6+5+5+7}$$

Add 293 and 117 to get 410.

$$\frac{\frac{410}{18}}{5+6+5+5+7}$$

Reduce the fraction \frac{410}{18} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{205}{9}}{5+6+5+5+7}$$

Add 5 and 6 to get 11.

$$\frac{\frac{205}{9}}{11+5+5+7}$$

Add 11 and 5 to get 16.

$$\frac{\frac{205}{9}}{16+5+7}$$

Add 16 and 5 to get 21.

$$\frac{\frac{205}{9}}{21+7}$$

Add 21 and 7 to get 28.

$$\frac{\frac{205}{9}}{28}$$

Express \frac{\frac{205}{9}}{28} as a single fraction.

$$\frac{205}{9\times 28}$$

Multiply 9 and 28 to get 252.

$$\frac{205}{252}$$

Factor

$$\frac{5 \cdot 41}{7 \cdot 2 ^ {2} \cdot 3 ^ {2}} = 0.8134920634920635$$