Solve 1+3/7-2/3-3/3/3-1

$$1 + \frac { \frac { 3 } { 7 } - \frac { 2 } { 3 } - \frac { 3 } { 3 } } { 3 - 1 }$$

Evaluate

$$\frac{8}{21}\approx 0.380952381$$

Solution Steps

Divide 3 by 3 to get 1.

$$1+\frac{\frac{3}{7}-\frac{2}{3}-1}{3-1}$$

Least common multiple of 7 and 3 is 21. Convert \frac{3}{7} and \frac{2}{3} to fractions with denominator 21.

$$1+\frac{\frac{9}{21}-\frac{14}{21}-1}{3-1}$$

Since \frac{9}{21} and \frac{14}{21} have the same denominator, subtract them by subtracting their numerators.

$$1+\frac{\frac{9-14}{21}-1}{3-1}$$

Subtract 14 from 9 to get -5.

$$1+\frac{-\frac{5}{21}-1}{3-1}$$

Convert 1 to fraction \frac{21}{21}.

$$1+\frac{-\frac{5}{21}-\frac{21}{21}}{3-1}$$

Since -\frac{5}{21} and \frac{21}{21} have the same denominator, subtract them by subtracting their numerators.

$$1+\frac{\frac{-5-21}{21}}{3-1}$$

Subtract 21 from -5 to get -26.

$$1+\frac{-\frac{26}{21}}{3-1}$$

Subtract 1 from 3 to get 2.

$$1+\frac{-\frac{26}{21}}{2}$$

Express \frac{-\frac{26}{21}}{2} as a single fraction.

$$1+\frac{-26}{21\times 2}$$

Multiply 21 and 2 to get 42.

$$1+\frac{-26}{42}$$

Reduce the fraction \frac{-26}{42} to lowest terms by extracting and canceling out 2.

$$1-\frac{13}{21}$$

Convert 1 to fraction \frac{21}{21}.

$$\frac{21}{21}-\frac{13}{21}$$

Since \frac{21}{21} and \frac{13}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-13}{21}$$

Subtract 13 from 21 to get 8.

$$\frac{8}{21}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 7} = 0.38095238095238093$$