Solve 1-(9div12)*(8div11)*(7div10)

$$1-(9 \div 12) \times (8 \div 11) \times (7 \div 10)$$

Evaluate

$$\frac{34}{55}\approx 0.618181818$$

Solution Steps

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$1-\frac{3}{4}\times \frac{8}{11}\times \frac{7}{10}$$

Multiply \frac{3}{4} times \frac{8}{11} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{3\times 8}{4\times 11}\times \frac{7}{10}$$

Do the multiplications in the fraction \frac{3\times 8}{4\times 11}.

$$1-\frac{24}{44}\times \frac{7}{10}$$

Reduce the fraction \frac{24}{44} to lowest terms by extracting and canceling out 4.

$$1-\frac{6}{11}\times \frac{7}{10}$$

Multiply \frac{6}{11} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{6\times 7}{11\times 10}$$

Do the multiplications in the fraction \frac{6\times 7}{11\times 10}.

$$1-\frac{42}{110}$$

Reduce the fraction \frac{42}{110} to lowest terms by extracting and canceling out 2.

$$1-\frac{21}{55}$$

Convert 1 to fraction \frac{55}{55}.

$$\frac{55}{55}-\frac{21}{55}$$

Since \frac{55}{55} and \frac{21}{55} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-21}{55}$$

Subtract 21 from 55 to get 34.

$$\frac{34}{55}$$

Factor

$$\frac{2 \cdot 17}{5 \cdot 11} = 0.6181818181818182$$