Solve 4(144/169)-36/13

$$4 ( \frac { 144 } { 169 } ) - \frac { 36 } { 13 }$$

Evaluate

$$\frac{108}{169}\approx 0.639053254$$

Solution Steps

Express 4\times \frac{144}{169} as a single fraction.

$$\frac{4\times 144}{169}-\frac{36}{13}$$

Multiply 4 and 144 to get 576.

$$\frac{576}{169}-\frac{36}{13}$$

Least common multiple of 169 and 13 is 169. Convert \frac{576}{169} and \frac{36}{13} to fractions with denominator 169.

$$\frac{576}{169}-\frac{468}{169}$$

Since \frac{576}{169} and \frac{468}{169} have the same denominator, subtract them by subtracting their numerators.

$$\frac{576-468}{169}$$

Subtract 468 from 576 to get 108.

$$\frac{108}{169}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {3}}{13 ^ {2}} = 0.6390532544378699$$