What is the decimal for 9/16

what is the decimal for 9/16

What is the decimal for 9/16?

Answer: Converting a fraction to a decimal involves dividing the numerator by the denominator. Here’s a detailed step-by-step process to convert ( \frac{9}{16} ) to a decimal:

  1. Start with the fraction:

    \frac{9}{16}
  2. Perform the division:

    • Divide 9 by 16.

    • You can set it up as a long division problem:

      16 \overline{)9.0000} \quad (\text{we'll add extra zeros to divide fully})
  3. Divide:

    • 16 goes into 90 (the initial division) 5 times (16 * 5 = 80).
    • Subtract 80 from 90 to get 10.
    • Bring down the next zero.
  4. Repeat the division step:

    • 16 goes into 100 6 times (16 * 6 = 96).
    • Subtract 96 from 100 to get 4.
    • Bring down the next zero.
  5. Continue the division:

    • 16 goes into 40 2 times (16 * 2 = 32).
    • Subtract 32 from 40 to get 8.
    • Bring down the next zero.
  6. Final steps:

    • 16 goes into 80 5 times (16 * 5 = 80).
    • Subtract 80 from 80 to get 0, completing the division.

So, performing the division gives us:

\frac{9}{16} = 0.5625

Therefore, the decimal representation of \frac{9}{16} is 0.5625