7/12 as a Decimal

Answer

7/12 as a decimal is approximately 0.5833. It is a recurring decimal, meaning it repeats the same digits infinitely.

Explanation

To convert 7/12 into a decimal, we use division. Since 7 is smaller than 12, we utilize the decimal method to obtain 0.5833. Here's a step-by-step breakdown:

Step 1: Identify the numerator (7) and the denominator (12). The numerator becomes the dividend, and the denominator the divisor.

Step 2: Since 7 is smaller than 12, we add a decimal point in the quotient and append a zero to the dividend, making it 70.

Step 3: Divide 70 by 12. It goes 5 times, as 12 × 5 = 60. Write 5 in the quotient and subtract 60 from 70 to get 10.

Step 4: Bring down a zero to make it 100. Divide 100 by 12. It goes 8 times, as 12 × 8 = 96. Write 8 in the quotient and subtract 96 from 100 to get 4.

Step 5: Bring down another zero, making it 40. Divide 40 by 12. It goes 3 times, as 12 × 3 = 36. Write 3 in the quotient and subtract 36 from 40 to get 4. Repeat the process to continue the decimal. This process results in a recurring decimal.

• 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 one or more digits repeat infinitely.