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What are the possible values for \( S \) in the equation \( \frac{1}{4} + S = \frac{18}{20} \)?

Answer :

Final answer:

To find the value of S in the equation 1/4 + S = 18/20, we simplify 18/20 to 9/10, then subtract 1/4 (or 0.25) from 0.9 to get S = 0.65.

Explanation:

To solve the equation 1/4 + S = 18/20, we first need to simplify 18/20 and then subtract 1/4 from both sides of the equation. Here is the step-by-step solution:

  1. First, simplify the fraction 18/20 to its lowest terms. Both the numerator (18) and the denominator (20) can be divided by 2, resulting in 9/10.
  2. Our equation becomes 1/4 + S = 9/10.
  3. Next, convert 1/4 into a decimal or find a common denominator for 1/4 and 9/10 to subtract. Converting 1/4 to a decimal gives 0.25.
  4. Now the equation is 0.25 + S = 0.9.
  5. To find S, subtract 0.25 from both sides. The equation is now S = 0.9 - 0.25.
  6. Finally, calculate the difference, which gives S = 0.65.

Therefore, the possible value for S is 0.65.

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