How to Write 13/16 as a Decimal

To convert a fraction to a decimal, divide the numerator (the top number) by the denominator (the bottom number). In this case, we have 13/16.

Key Facts

  1. Divide the numerator (13) by the denominator (16): 13 ÷ 16 = 0.8125.

Using long division:

  1. Set up the long division problem with 13 as the dividend and 16 as the divisor.
  2. Divide 13 by 16. The quotient is 0 with a remainder of 13.
  3. Bring down a zero after the remainder (13) to continue the division.
  4. Divide 130 by 16. The quotient is 8 with a remainder of 2.
  5. Bring down another zero after the remainder (2) to continue the division.
  6. Divide 20 by 16. The quotient is 1 with a remainder of 4.
  7. Bring down another zero after the remainder (4) to continue the division.
  8. Divide 40 by 16. The quotient is 2 with a remainder of 8.
  9. Bring down another zero after the remainder (8) to continue the division.
  10. Divide 80 by 16. The quotient is 5 with no remainder.
  11. The final result is 0.8125.

In summary, 13/16 as a decimal is 0.8125.

Division Method

  1. Set up the long division problem with 13 as the dividend and 16 as the divisor.
  2. Divide 13 by 16. The quotient is 0 with a remainder of 13.
  3. Bring down a zero after the remainder (13) to continue the division.
  4. Divide 130 by 16. The quotient is 8 with a remainder of 2.
  5. Bring down another zero after the remainder (2) to continue the division.
  6. Divide 20 by 16. The quotient is 1 with a remainder of 4.
  7. Bring down another zero after the remainder (4) to continue the division.
  8. Divide 40 by 16. The quotient is 2 with a remainder of 8.
  9. Bring down another zero after the remainder (8) to continue the division.
  10. Divide 80 by 16. The quotient is 5 with no remainder.

The final result is 0.8125.

Simplified Method

Alternatively, you can use the following simplified method:

  1. Divide the numerator (13) by the denominator (16).
  2. The result is 0.8125.

Therefore, 13/16 as a decimal is 0.8125.

Sources

FAQs

What is the decimal equivalent of 13/16?

The decimal equivalent of 13/16 is 0.8125.

How do I convert 13/16 to a decimal using the division method?

To convert 13/16 to a decimal using the division method, follow these steps:
* Set up the long division problem with 13 as the dividend and 16 as the divisor.
* Divide 13 by 16. The quotient is 0 with a remainder of 13.
* Bring down a zero after the remainder (13) to continue the division.
* Divide 130 by 16. The quotient is 8 with a remainder of 2.
* Continue this process until you reach a quotient with no remainder or until you have reached the desired level of precision.

Is there a simplified method to convert 13/16 to a decimal?

Yes, there is a simplified method to convert 13/16 to a decimal. Simply divide the numerator (13) by the denominator (16) using a calculator or long division. The result is 0.8125.

Can I use a calculator to convert 13/16 to a decimal?

Yes, you can use a calculator to convert 13/16 to a decimal. Simply enter 13 ÷ 16 into your calculator and press the equals sign. The result will be 0.8125.

What is the decimal equivalent of 13/16 rounded to the nearest hundredth?

The decimal equivalent of 13/16 rounded to the nearest hundredth is 0.81.

What is the decimal equivalent of 13/16 rounded to the nearest thousandth?

The decimal equivalent of 13/16 rounded to the nearest thousandth is 0.812.

What is the decimal equivalent of 13/16 rounded to the nearest ten-thousandth?

The decimal equivalent of 13/16 rounded to the nearest ten-thousandth is 0.8125.

How do I convert other fractions to decimals?

To convert other fractions to decimals, follow the same steps as outlined above for converting 13/16 to a decimal. You can use the division method or the simplified method, depending on your preference.

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