-9 11/30 as a Decimal

Answer

-9 11/30 in decimals can be written as -9.3666…. It is a recurring decimal, showing it will repeat a sequence of digits infinitely.

Explanation

To get -9 11/30 in decimal, we will use the division method for the fractional part and add it to the whole number. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fractional part. Here, the whole number is -9, and the fraction is 11/30.

Step 2: Convert the fraction 11/30 to a decimal by dividing 11 by 30.

Step 3: Since 11 is smaller than 30, we will use the decimal method. Add a decimal point and a zero to 11, making it 110.

Step 4: Divide 110 by 30. 30 goes into 110 three times (30 × 3 = 90), leaving a remainder of 20.

Step 5: Bring down another 0, making it 200, and divide by 30 again. 30 goes into 200 six times (30 × 6 = 180), leaving a remainder of 20.

Step 6: Repeat the process, bringing down zeros, and you will see the division results in a recurring decimal: 0.3666...

Step 7: Combine the whole number with the decimal part: -9 + 0.3666... = -9.3666...

The answer for -9 11/30 as a decimal is -9.3666….

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

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

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.