Solve 31/19-26/29=

$$3 \frac { 1 } { 19 } - 2 \frac { 6 } { 29 } =$$

Evaluate

$$\frac{466}{551}\approx 0.845735027$$

Solution Steps

Multiply 3 and 19 to get 57.

$$\frac{57+1}{19}-\frac{2\times 29+6}{29}$$

Add 57 and 1 to get 58.

$$\frac{58}{19}-\frac{2\times 29+6}{29}$$

Multiply 2 and 29 to get 58.

$$\frac{58}{19}-\frac{58+6}{29}$$

Add 58 and 6 to get 64.

$$\frac{58}{19}-\frac{64}{29}$$

Least common multiple of 19 and 29 is 551. Convert \frac{58}{19} and \frac{64}{29} to fractions with denominator 551.

$$\frac{1682}{551}-\frac{1216}{551}$$

Since \frac{1682}{551} and \frac{1216}{551} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1682-1216}{551}$$

Subtract 1216 from 1682 to get 466.

$$\frac{466}{551}$$

Factor

$$\frac{2 \cdot 233}{19 \cdot 29} = 0.8457350272232305$$