Question

(4 1/9-a)+8 5/9=9 2/9

Answer 1

4 1/9-а=9 2/9-8 5/9
4 1/9-а=8 11/9-8 5/9
4 1/9-а=6/9
а=4 1/9-6/9
а=3 9/9-6/9
а=3 3/9
а=3 1/3

Answer 2

To solve the equation (4 1/9 - a) + 8 5/9 = 9 2/9, we'll first convert the mixed numbers into improper fractions. Then, we'll combine like terms and isolate the variable 'a'.

Converting mixed numbers to improper fractions: 4 1/9 = (4 * 9 + 1) / 9 = 37/9 8 5/9 = (8 * 9 + 5) / 9 = 77/9 9 2/9 = (9 * 9 + 2) / 9 = 83/9

Substituting the values back into the equation: (37/9 - a) + 77/9 = 83/9

Now, let's simplify the equation: (37/9 - a) + 77/9 = 83/9

To combine the fractions, we need a common denominator, which is 9 in this case: ((37 - 9a) + 77) / 9 = 83/9

Next, we can simplify the numerator: (37 - 9a + 77) / 9 = 83/9

Combine like terms in the numerator: (37 + 77 - 9a) / 9 = 83/9

Now, we can equate the numerators since the denominators are the same: (37 + 77 - 9a) = 83

Simplifying the numerator further: 114 - 9a = 83

To isolate the variable 'a', we'll subtract 114 from both sides: -9a = 83 - 114 -9a = -31

Finally, divide both sides by -9 to solve for 'a': a = (-31) / (-9) a = 31/9

Therefore, the solution to the equation is a = 31/9.