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:
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Start with the fraction:
\frac{9}{16} -
Perform the division:
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Divide 9 by 16.
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You can set it up as a long division problem:
16 \overline{)9.0000} \quad (\text{we'll add extra zeros to divide fully})
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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.
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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.
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Continue the division:
- 16 goes into 40 2 times (16 * 2 = 32).
- Subtract 32 from 40 to get 8.
- Bring down the next zero.
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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