41/13 as a Decimal

Answer

41/13 in decimals can be written as 3.153846153846.... It is a recurring decimal, indicating it will repeat the same sequence of digits infinitely.

Explanation

To get 41/13 in decimal form, we will use the division method. Here, as 41 is greater than 13, we can directly divide. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (41) will be taken as the dividend and the denominator (13) will be taken as the divisor.

Step 2: Divide 41 by 13. 13 goes into 41 three times. Write 3 in the quotient place.

Step 3: Multiply 3 by 13 to get 39. Subtract 39 from 41, giving a remainder of 2.

Step 4: Bring down a 0, making it 20. Divide 20 by 13. 13 goes into 20 once. Write 1 in the quotient.

Step 5: Multiply 1 by 13 to get 13. Subtract 13 from 20, giving a remainder of 7.

Step 6: Bring down a 0, making it 70. Divide 70 by 13. 13 goes into 70 five times. Write 5 in the quotient.

Step 7: Continue this process. The sequence 153846 will repeat indefinitely.

The answer for 41/13 as a decimal is 3.153846153846....

• 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.