How do you convert 5/16 into a decimal?

To convert the fraction 5/16 into a decimal, you can perform the division of the numerator (5) by the denominator (16).

Here are the steps to do this:

  1. Start by dividing 5 by 16. Since 5 is less than 16, you can add a decimal point and some zeros to 5 to make it 5.000.
  2. Now, divide 50 by 16. The quotient is 3, and the remainder is 2. Write down 3 after the decimal point.
  3. Next, bring down a 0 making it 20. Divide 20 by 16, which fits 1 time. Write down 1 next.
  4. Now, take the remainder (4) and bring down another 0 to make it 40. Divide 40 by 16, which fits 2 times. Write down 2.
  5. Now, take the new remainder (8) and bring down another 0 to make it 80. Divide 80 by 16, which fits exactly 5 times, leaving no remainder.

Putting this all together, you have:

  • 3 for the first digit after the decimal
  • 1 for the next
  • 2 for the next
  • 5 for the last

So, 5/16 as a decimal is 0.3125.

That means:

5/16 = 0.3125

You can use a calculator to double-check this conversion, but following these steps will always give you the correct result!

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