Question

1) x + 8 5/6=10 1/3​

Answer 1

$x + 8 \frac{5}{6} = 10 \frac{1}{3 } \\ x = \frac{31}{3} - \frac{53}{6} = \frac{62 - 53}{6} = \frac{9}{6} = \frac{3}{2}$

Answer 2

To solve the equation $x + \frac{8}{6} = \frac{10}{3}$, you can follow these steps:

Step 1: Convert the mixed numbers to improper fractions: $x + \frac{8}{6} = \frac{10}{3}$

Step 2: Simplify the fractions if possible: $x + \frac{4}{3} = \frac{10}{3}$

Step 3: To isolate the variable $x$, subtract $\frac{4}{3}$ from both sides of the equation: $x = \frac{10}{3} - \frac{4}{3}$

Step 4: Subtract the fractions on the right side of the equation: $x = \frac{10 - 4}{3}$

Step 5: Simplify the fraction on the right side: $x = \frac{6}{3}$

Step 6: Further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3: $x = \frac{6}{3} = 2$

So, the solution to the equation $x + \frac{8}{6} = \frac{10}{3}$ is $x = 2$.