Solve 8.3-11/7*6

$$8.3- \frac{ 11 }{ 7 } \times 6$$

Evaluate

$$-\frac{79}{70}\approx -1.128571429$$

Solution Steps

Express \frac{11}{7}\times 6 as a single fraction.

$$8.3-\frac{11\times 6}{7}$$

Multiply 11 and 6 to get 66.

$$8.3-\frac{66}{7}$$

Convert decimal number 8.3 to fraction \frac{83}{10}.

$$\frac{83}{10}-\frac{66}{7}$$

Least common multiple of 10 and 7 is 70. Convert \frac{83}{10} and \frac{66}{7} to fractions with denominator 70.

$$\frac{581}{70}-\frac{660}{70}$$

Since \frac{581}{70} and \frac{660}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{581-660}{70}$$

Subtract 660 from 581 to get -79.

$$-\frac{79}{70}$$

Factor

$$-\frac{79}{70} = -1\frac{9}{70} = -1.1285714285714286$$