2 5/12 as a Decimal

Answer

2 5/12 in decimals can be written as 2.41666… It is a recurring decimal, showing it will repeat the digit 6 infinitely.

Explanation

To convert 2 5/12 into a decimal, we will first separate the whole number part and the fractional part. The whole number is 2. For the fractional part 5/12, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (12) will be taken as the divisor.

Step 2: Divide 5 by 12. Since 5 is smaller than 12, we will use decimals. Add a decimal point to the quotient and a 0 to the dividend, making it 50.

Step 3: Divide 50 by 12. The closest multiple of 12 is 48 (12 × 4). Write 4 in the quotient place. Subtract 48 from 50 to get 2.

Step 4: Bring down another 0, making it 20. Divide 20 by 12. The closest multiple is 12 (12 × 1). Write 1 in the quotient place. Subtract 12 from 20 to get 8.

Step 5: Bring down another 0, making it 80. Divide 80 by 12. The closest multiple is 72 (12 × 6). Write 6 in the quotient place. Subtract 72 from 80 to get 8.

Step 6: Repeat the process as the remainder doesn’t become 0. The result is 0.41666…, which is a recurring decimal.

Combine the whole number and the decimal: 2 + 0.41666… = 2.41666…

• 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 that repeats the same digit or group of digits infinitely.