Solve 1/71/1-2/3*7

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

Evaluate

$$-\frac{95}{21}\approx -4.523809524$$

Solution Steps

Divide 1 by 1 to get 1.

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

Multiply \frac{1}{7} and 1 to get \frac{1}{7}.

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

Express \frac{2}{3}\times 7 as a single fraction.

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

Multiply 2 and 7 to get 14.

$$\frac{1}{7}-\frac{14}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{1}{7} and \frac{14}{3} to fractions with denominator 21.

$$\frac{3}{21}-\frac{98}{21}$$

Since \frac{3}{21} and \frac{98}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-98}{21}$$

Subtract 98 from 3 to get -95.

$$-\frac{95}{21}$$

Factor

$$-\frac{95}{21} = -4\frac{11}{21} = -4.523809523809524$$