Question

10/21x-3/14x=9 1/6 help please

Answer 1

20/42x-9/42x=55/6

11/42x=55/6

x=55/6*42/11

x=605/66-252/66

x=353/66

x=5 23/66

Answer 2

To solve the equation (10/21)x - (3/14)x = 9 1/6, you can follow these steps:

Step 1: Find a common denominator for the fractions on the left side of the equation. The least common multiple of 21 and 14 is 42, so we can use that as the common denominator.

Step 2: Rewrite the fractions with the common denominator:

(10/21)x - (3/14)x = 9 1/6 can be written as:

(10/21)x * (42/42) - (3/14)x * (42/42) = 9 1/6

Step 3: Now, the equation becomes:

(10/21 * 42)x - (3/14 * 42)x = 9 1/6

Step 4: Simplify the fractions:

(20x) - (6x) = 9 1/6

Step 5: Combine like terms:

20x - 6x = 9 1/6

14x = 9 1/6

Step 6: To get x by itself, divide both sides by 14:

(14x)/14 = (9 1/6)/14

x = (9 1/6)/14

Now, let's convert the mixed fraction 9 1/6 to an improper fraction:

9 1/6 = 9 + 1/6 = (54/6) + (1/6) = 55/6

So, the solution for x is:

x = (55/6) / 14

Now, divide 55/6 by 14:

x = (55/6) / 14 = (55/6) * (1/14) = (55/84)

So, the solution to the equation is:

x = 55/84