Solve 1-(16div20)*(15div19)*(14div18)*(13div19)

$$1-(16 \div 20) \times (15 \div 19) \times (14 \div 18) \times (13 \div 19)$$

Evaluate

$$\frac{719}{1083}\approx 0.663896584$$

Solution Steps

Reduce the fraction \frac{16}{20} to lowest terms by extracting and canceling out 4.

$$1-\frac{4}{5}\times \frac{15}{19}\times \frac{14}{18}\times \frac{13}{19}$$

Multiply \frac{4}{5} times \frac{15}{19} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{4\times 15}{5\times 19}\times \frac{14}{18}\times \frac{13}{19}$$

Do the multiplications in the fraction \frac{4\times 15}{5\times 19}.

$$1-\frac{60}{95}\times \frac{14}{18}\times \frac{13}{19}$$

Reduce the fraction \frac{60}{95} to lowest terms by extracting and canceling out 5.

$$1-\frac{12}{19}\times \frac{14}{18}\times \frac{13}{19}$$

Reduce the fraction \frac{14}{18} to lowest terms by extracting and canceling out 2.

$$1-\frac{12}{19}\times \frac{7}{9}\times \frac{13}{19}$$

Multiply \frac{12}{19} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{12\times 7}{19\times 9}\times \frac{13}{19}$$

Do the multiplications in the fraction \frac{12\times 7}{19\times 9}.

$$1-\frac{84}{171}\times \frac{13}{19}$$

Reduce the fraction \frac{84}{171} to lowest terms by extracting and canceling out 3.

$$1-\frac{28}{57}\times \frac{13}{19}$$

Multiply \frac{28}{57} times \frac{13}{19} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{28\times 13}{57\times 19}$$

Do the multiplications in the fraction \frac{28\times 13}{57\times 19}.

$$1-\frac{364}{1083}$$

Convert 1 to fraction \frac{1083}{1083}.

$$\frac{1083}{1083}-\frac{364}{1083}$$

Since \frac{1083}{1083} and \frac{364}{1083} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1083-364}{1083}$$

Subtract 364 from 1083 to get 719.

$$\frac{719}{1083}$$

Factor

$$\frac{719}{3 \cdot 19 ^ {2}} = 0.6638965835641736$$