-9 5/6 as a Decimal

Answer

-9 5/6 in decimal form can be written as -9.8333... It is a recurring decimal, indicating that the digit 3 repeats indefinitely.

Explanation

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.

Step 1: Identify the fraction 5/6, where 5 is the numerator and 6 is the denominator.

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.

Step 3: Perform the division: 5 divided by 6 equals 0.8333..., with 3 repeating indefinitely.

Step 4: Combine this result with the whole number -9, resulting in -9.8333...

• Fraction: A numerical quantity representing part of a whole, expressed as one number over another.

• Decimal: A base-ten number system that includes a decimal point to separate the whole number from the fractional part.

• Numerator: The upper part of a fraction, indicating the number of parts being considered.

• Denominator: The lower part of a fraction, showing the total number of equal parts.

• Recurring Decimal: A decimal that has one or more repeating digits after the decimal point.