Question

3 11/18-y=1 1/6+1 1/9

Answer 1

Ответ:

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Пошаговое объяснение:

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Answer 2

Відповідь:

Покрокове пояснення:

Answer 3

To solve for the value of y in the equation:

3 11/18 - y = 1 1/6 + 1 1/9

First, let's convert the mixed numbers to improper fractions:

3 11/18 = (3 * 18 + 11)/18 = (54 + 11)/18 = 65/18

1 1/6 = (1 * 6 + 1)/6 = (6 + 1)/6 = 7/6

1 1/9 = (1 * 9 + 1)/9 = (9 + 1)/9 = 10/9

Now, the equation becomes:

65/18 - y = 7/6 + 10/9

To add the fractions on the right side, we need a common denominator, which is 18. So, we'll rewrite 7/6 with a denominator of 18:

7/6 = (7/6) * (3/3) = 21/18

Now, the equation is:

65/18 - y = 21/18 + 10/9

Next, add the fractions on the right side:

65/18 - y = (21/18 + 10/9)

To add these fractions, find a common denominator, which is 18:

65/18 - y = (21/18 + 20/18)

Now, combine the fractions on the right side:

65/18 - y = 41/18

To isolate y, subtract 65/18 from both sides of the equation:

• y = 41/18 - 65/18

Now, subtract the fractions:

• y = (41 - 65)/18

• y = -24/18

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6:

• y = (-24/6)/(18/6)

• y = -4/3

So, the solution to the equation is:

y = -4/3