Solve 26/29-1255/3978=

$$2 \frac { 6 } { 29 } - \frac { 1255 } { 3978 } =$$

Evaluate

$$\frac{218197}{115362}\approx 1.891411383$$

Solution Steps

Multiply 2 and 29 to get 58.

$$\frac{58+6}{29}-\frac{1255}{3978}$$

Add 58 and 6 to get 64.

$$\frac{64}{29}-\frac{1255}{3978}$$

Least common multiple of 29 and 3978 is 115362. Convert \frac{64}{29} and \frac{1255}{3978} to fractions with denominator 115362.

$$\frac{254592}{115362}-\frac{36395}{115362}$$

Since \frac{254592}{115362} and \frac{36395}{115362} have the same denominator, subtract them by subtracting their numerators.

$$\frac{254592-36395}{115362}$$

Subtract 36395 from 254592 to get 218197.

$$\frac{218197}{115362}$$

Factor

$$\frac{7 ^ {2} \cdot 61 \cdot 73}{2 \cdot 3 ^ {2} \cdot 13 \cdot 17 \cdot 29} = 1\frac{102835}{115362} = 1.891411383297793$$