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:
- 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.
- Now, divide 50 by 16. The quotient is 3, and the remainder is 2. Write down 3 after the decimal point.
- Next, bring down a 0 making it 20. Divide 20 by 16, which fits 1 time. Write down 1 next.
- 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.
- 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!