Solve 9.5div9*8-0.66+80.6

$$9.5 \div 9 \times 8 - 0.66 + 80.6$$

Evaluate

$$\frac{39773}{450}\approx 88.384444444$$

Solution Steps

Expand \frac{9.5}{9} by multiplying both numerator and the denominator by 10.

$$\frac{95}{90}\times 8-0.66+80.6$$

Reduce the fraction \frac{95}{90} to lowest terms by extracting and canceling out 5.

$$\frac{19}{18}\times 8-0.66+80.6$$

Express \frac{19}{18}\times 8 as a single fraction.

$$\frac{19\times 8}{18}-0.66+80.6$$

Multiply 19 and 8 to get 152.

$$\frac{152}{18}-0.66+80.6$$

Reduce the fraction \frac{152}{18} to lowest terms by extracting and canceling out 2.

$$\frac{76}{9}-0.66+80.6$$

Convert decimal number 0.66 to fraction \frac{66}{100}. Reduce the fraction \frac{66}{100} to lowest terms by extracting and canceling out 2.

$$\frac{76}{9}-\frac{33}{50}+80.6$$

Least common multiple of 9 and 50 is 450. Convert \frac{76}{9} and \frac{33}{50} to fractions with denominator 450.

$$\frac{3800}{450}-\frac{297}{450}+80.6$$

Since \frac{3800}{450} and \frac{297}{450} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3800-297}{450}+80.6$$

Subtract 297 from 3800 to get 3503.

$$\frac{3503}{450}+80.6$$

Convert decimal number 80.6 to fraction \frac{806}{10}. Reduce the fraction \frac{806}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3503}{450}+\frac{403}{5}$$

Least common multiple of 450 and 5 is 450. Convert \frac{3503}{450} and \frac{403}{5} to fractions with denominator 450.

$$\frac{3503}{450}+\frac{36270}{450}$$

Since \frac{3503}{450} and \frac{36270}{450} have the same denominator, add them by adding their numerators.

$$\frac{3503+36270}{450}$$

Add 3503 and 36270 to get 39773.

$$\frac{39773}{450}$$

Factor

$$\frac{31 \cdot 1283}{2 \cdot 3 ^ {2} \cdot 5 ^ {2}} = 88\frac{173}{450} = 88.38444444444444$$