12/45 as a Decimal

Answer

12/45 in decimals can be written as 0.2666..... It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 12/45 into a decimal, we will use the division method. Let's see a step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator, because the numerator (12) will be taken as the dividend and the denominator (45) will be taken as the divisor.

Step 2: As 12 is smaller than 45, it can't be divided directly. We will use the decimal method, adding a decimal point in the quotient place and adding zeros to the dividend.

Step 3: Now, treat it as 120 divided by 45. Determine how many times 45 goes into 120.

Step 4: 45 goes into 120 twice (2 × 45 = 90). Write 2 in the quotient place, subtract 90 from 120, leaving 30.

Step 5: Bring down a 0 to make it 300. Divide 300 by 45, giving 6 (6 × 45 = 270). Write 6 in the quotient, subtract 270 from 300, leaving 30.

Step 6: Repeat the process by bringing down another 0, and dividing again, continuing the recurring sequence.

The answer for 12/45 as a decimal will be 0.2666......

• 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.