The equation you've provided seems to be a bit unclear. However, if you're asking to solve for 'a' in the equation 1/6 + 7/10a = 1/3, here are the steps:

1. First, subtract 1/6 from both sides of the equation to isolate the term with 'a'. This gives you:

7/10a = 1/3 - 1/6

2. To subtract the fractions on the right side, you need to find a common denominator. The least common denominator for 3 and 6 is 6. So, rewrite 1/3 as 2/6. This gives you:

7/10a = 2/6 - 1/6

3. Now, subtract the fractions on the right side:

7/10a = 1/6

4. To solve for 'a', divide both sides of the equation by 7/10. Remember that dividing by a fraction is the same as multiplying by its reciprocal. So, this gives you:

a = (1/6) / (7/10) = (1/6) * (10/7)

5. Multiply the fractions:

a = 10/42

6. Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 2:

a = 5/21

So, the solution to the equation is a = 5/21.

Question

The equation you've provided seems to be a bit unclear. However, if you're asking to solve for 'a' in the equation 1/6 + 7/10a = 1/3, here are the steps:

1. First, subtract 1/6 from both sides of the equation to isolate the term with 'a'. This gives you:

7/10a = 1/3 - 1/6

2. To subtract the fractions on the right side, you need to find a common denominator. The least common denominator for 3 and 6 is 6. So, rewrite 1/3 as 2/6. This gives you:

7/10a = 2/6 - 1/6

3. Now, subtract the fractions on the right side:

7/10a = 1/6

4. To solve for 'a', divide both sides of the equation by 7/10. Remember that dividing by a fraction is the same as multiplying by its reciprocal. So, this gives you:

a = (1/6) / (7/10) = (1/6) * (10/7)

5. Multiply the fractions:

a = 10/42

6. Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 2:

a = 5/21

So, the solution to the equation is a = 5/21.

Knowee AI · Accepted Answer