Solve 10.3-11div7-1/7x3

$$10.3 - 11 \div 7 - \frac { 1 } { 7 } x 3$$

Evaluate

$$-\frac{x_{3}}{7}+\frac{611}{70}$$

Solution Steps

Convert decimal number 10.3 to fraction \frac{103}{10}.

$$\frac{103}{10}-\frac{11}{7}-\frac{1}{7}x_{3}$$

Least common multiple of 10 and 7 is 70. Convert \frac{103}{10} and \frac{11}{7} to fractions with denominator 70.

$$\frac{721}{70}-\frac{110}{70}-\frac{1}{7}x_{3}$$

Since \frac{721}{70} and \frac{110}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{721-110}{70}-\frac{1}{7}x_{3}$$

Subtract 110 from 721 to get 611.

$$\frac{611}{70}-\frac{1}{7}x_{3}$$

Factor

$$\frac{611-10x_{3}}{70}$$

Solution Steps

Convert decimal number 10.3 to fraction \frac{103}{10}.

$$factor(\frac{103}{10}-\frac{11}{7}-\frac{1}{7}x_{3})$$

Least common multiple of 10 and 7 is 70. Convert \frac{103}{10} and \frac{11}{7} to fractions with denominator 70.

$$factor(\frac{721}{70}-\frac{110}{70}-\frac{1}{7}x_{3})$$

Since \frac{721}{70} and \frac{110}{70} have the same denominator, subtract them by subtracting their numerators.

$$factor(\frac{721-110}{70}-\frac{1}{7}x_{3})$$

Subtract 110 from 721 to get 611.

$$factor(\frac{611}{70}-\frac{1}{7}x_{3})$$

Factor out \frac{1}{70}.

$$\frac{611-10x_{3}}{70}$$