How do you convert 9/16 into a decimal?

To convert the fraction 9/16 into a decimal, you can use simple division. This process is straightforward:

  1. Divide the numerator (9) by the denominator (16).

This can be done using a calculator or by doing long division manually. Here’s the step-by-step breakdown:

  1. When you divide 9 by 16, you find that 16 goes into 9, 0 times, so you start with 0.
  2. To continue the division, you can add a decimal point and zeroes to 9, making it 90.
  3. Now, determine how many times 16 fits into 90, which is 5 times (because 16 x 5 = 80).
  4. Subtract 80 from 90, which leaves you with 10.
  5. Bring down another 0, making it 100. Now, see how many times 16 fits into 100, which is 6 times (because 16 x 6 = 96).
  6. Subtract 96 from 100, which leaves you with 4.
  7. Bring down another 0, making it 40. See how many times 16 fits into 40, which is 2 times (because 16 x 2 = 32).
  8. Subtract 32 from 40, leaving you with 8.
  9. Bring down another 0, making it 80 again, and you will repeat the previous steps.

From this calculation, you can see that:

9 / 16 = 0.5625

Thus, the decimal form of the fraction 9/16 is 0.5625.

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