Solve 1-1/91-3/13-2/7

$$1- \frac{ 1 }{ 91 } - \frac{ 3 }{ 13 } - \frac{ 2 }{ 7 }$$

Evaluate

$$\frac{43}{91}\approx 0.472527473$$

Solution Steps

Convert 1 to fraction \frac{91}{91}.

$$\frac{91}{91}-\frac{1}{91}-\frac{3}{13}-\frac{2}{7}$$

Since \frac{91}{91} and \frac{1}{91} have the same denominator, subtract them by subtracting their numerators.

$$\frac{91-1}{91}-\frac{3}{13}-\frac{2}{7}$$

Subtract 1 from 91 to get 90.

$$\frac{90}{91}-\frac{3}{13}-\frac{2}{7}$$

Least common multiple of 91 and 13 is 91. Convert \frac{90}{91} and \frac{3}{13} to fractions with denominator 91.

$$\frac{90}{91}-\frac{21}{91}-\frac{2}{7}$$

Since \frac{90}{91} and \frac{21}{91} have the same denominator, subtract them by subtracting their numerators.

$$\frac{90-21}{91}-\frac{2}{7}$$

Subtract 21 from 90 to get 69.

$$\frac{69}{91}-\frac{2}{7}$$

Least common multiple of 91 and 7 is 91. Convert \frac{69}{91} and \frac{2}{7} to fractions with denominator 91.

$$\frac{69}{91}-\frac{26}{91}$$

Since \frac{69}{91} and \frac{26}{91} have the same denominator, subtract them by subtracting their numerators.

$$\frac{69-26}{91}$$

Subtract 26 from 69 to get 43.

$$\frac{43}{91}$$

Factor

$$\frac{43}{7 \cdot 13} = 0.4725274725274725$$