Solve 113/14-25/6+16/7

$$1 \frac { 13 } { 14 } - 2 \frac { 5 } { 6 } + 1 \frac { 6 } { 7 }$$

Evaluate

$$\frac{20}{21}\approx 0.952380952$$

Solution Steps

Multiply 1 and 14 to get 14.

$$\frac{14+13}{14}-\frac{2\times 6+5}{6}+\frac{1\times 7+6}{7}$$

Add 14 and 13 to get 27.

$$\frac{27}{14}-\frac{2\times 6+5}{6}+\frac{1\times 7+6}{7}$$

Multiply 2 and 6 to get 12.

$$\frac{27}{14}-\frac{12+5}{6}+\frac{1\times 7+6}{7}$$

Add 12 and 5 to get 17.

$$\frac{27}{14}-\frac{17}{6}+\frac{1\times 7+6}{7}$$

Least common multiple of 14 and 6 is 42. Convert \frac{27}{14} and \frac{17}{6} to fractions with denominator 42.

$$\frac{81}{42}-\frac{119}{42}+\frac{1\times 7+6}{7}$$

Since \frac{81}{42} and \frac{119}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-119}{42}+\frac{1\times 7+6}{7}$$

Subtract 119 from 81 to get -38.

$$\frac{-38}{42}+\frac{1\times 7+6}{7}$$

Reduce the fraction \frac{-38}{42} to lowest terms by extracting and canceling out 2.

$$-\frac{19}{21}+\frac{1\times 7+6}{7}$$

Multiply 1 and 7 to get 7.

$$-\frac{19}{21}+\frac{7+6}{7}$$

Add 7 and 6 to get 13.

$$-\frac{19}{21}+\frac{13}{7}$$

Least common multiple of 21 and 7 is 21. Convert -\frac{19}{21} and \frac{13}{7} to fractions with denominator 21.

$$-\frac{19}{21}+\frac{39}{21}$$

Since -\frac{19}{21} and \frac{39}{21} have the same denominator, add them by adding their numerators.

$$\frac{-19+39}{21}$$

Add -19 and 39 to get 20.

$$\frac{20}{21}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 \cdot 7} = 0.9523809523809523$$