It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole and consists of two parts: the numerator (the number on the top) and the denominator (the number below). In the fraction 5/6, 5 is the numerator, indicating how many parts are being considered out of the whole, and 6 is the denominator, indicating how many parts constitute the whole. A decimal is a way to represent numbers that are not whole, using a decimal point to separate the whole part from the fractional part. Numbers to the left of the decimal point represent the whole, while those to the right represent the fractional part.

Learn how to convert -9 5/6 into a decimal easily! Quick, step-by-step guide for accurate results. Perfect for students and math enthusiasts.

What is -9 5/6 as a Decimal [Solved]

<img alt="-9 5/6 as a decimal" src="https://ik.imagekit.io/brightchamps/math/math-questions/minus-9-5-6-as-a-decimal.png" style="height:100%; margin-bottom:10px; margin-top:10px; width:100%" />

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<h3>Answer</h3>

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-9 5/6 in decimal form can be written as -9.8333... It is a recurring decimal, indicating that the digit 3 repeats indefinitely.

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<h3>Explanation</h3>

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To convert -9 5/6 to a decimal, we first handle the fractional part 5/6. By using division, we can convert this part to a decimal. Then we combine it with the whole number -9.

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Step 1: Identify the fraction 5/6, where 5 is the numerator and 6 is the denominator.

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Step 2: Divide 5 by 6. Since 5 is smaller than 6, a decimal point is added to the quotient, making the division process possible.

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Step 3: Perform the division: 5 divided by 6 equals 0.8333..., with 3 repeating indefinitely.

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Step 4: Combine this result with the whole number -9, resulting in -9.8333...

<ul>
	<li>Fraction: A numerical quantity representing part of a whole, expressed as one number over another.</li>
</ul>

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<ul>
	<li>Decimal: A base-ten number system that includes a decimal point to separate the whole number from the fractional part.</li>
</ul>

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<ul>
	<li>Numerator: The upper part of a fraction, indicating the number of parts being considered.</li>
</ul>

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<ul>
	<li>Denominator: The lower part of a fraction, showing the total number of equal parts.</li>
</ul>

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<ul>
	<li>Recurring Decimal: A decimal that has one or more repeating digits after the decimal point.&nbsp;</li>
</ul>

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