Solve 7/9-3/4-7/8-6/8=

$$\frac { 7 } { 9 } - \frac { 3 } { 4 } - \frac { 7 } { 8 } - \frac { 6 } { 8 } =$$

Evaluate

$$-\frac{115}{72}\approx -1.597222222$$

Solution Steps

Least common multiple of 9 and 4 is 36. Convert \frac{7}{9} and \frac{3}{4} to fractions with denominator 36.

$$\frac{28}{36}-\frac{27}{36}-\frac{7}{8}-\frac{6}{8}$$

Since \frac{28}{36} and \frac{27}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-27}{36}-\frac{7}{8}-\frac{6}{8}$$

Subtract 27 from 28 to get 1.

$$\frac{1}{36}-\frac{7}{8}-\frac{6}{8}$$

Least common multiple of 36 and 8 is 72. Convert \frac{1}{36} and \frac{7}{8} to fractions with denominator 72.

$$\frac{2}{72}-\frac{63}{72}-\frac{6}{8}$$

Since \frac{2}{72} and \frac{63}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-63}{72}-\frac{6}{8}$$

Subtract 63 from 2 to get -61.

$$-\frac{61}{72}-\frac{6}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{61}{72}-\frac{3}{4}$$

Least common multiple of 72 and 4 is 72. Convert -\frac{61}{72} and \frac{3}{4} to fractions with denominator 72.

$$-\frac{61}{72}-\frac{54}{72}$$

Since -\frac{61}{72} and \frac{54}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-61-54}{72}$$

Subtract 54 from -61 to get -115.

$$-\frac{115}{72}$$

Factor

$$-\frac{115}{72} = -1\frac{43}{72} = -1.5972222222222223$$