Solve (13div52)*(12div51)-1

$$(13 \div 52) \times (12 \div 51)-1$$

Evaluate

$$-\frac{16}{17}\approx -0.941176471$$

Solution Steps

Reduce the fraction \frac{13}{52} to lowest terms by extracting and canceling out 13.

$$\frac{1}{4}\times \frac{12}{51}-1$$

Reduce the fraction \frac{12}{51} to lowest terms by extracting and canceling out 3.

$$\frac{1}{4}\times \frac{4}{17}-1$$

Multiply \frac{1}{4} times \frac{4}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{4\times 17}-1$$

Cancel out 4 in both numerator and denominator.

$$\frac{1}{17}-1$$

Convert 1 to fraction \frac{17}{17}.

$$\frac{1}{17}-\frac{17}{17}$$

Since \frac{1}{17} and \frac{17}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-17}{17}$$

Subtract 17 from 1 to get -16.

$$-\frac{16}{17}$$

Factor

$$-\frac{16}{17} = -0.9411764705882353$$