15/11 as a Decimal

Answer

15/11 in decimals can be written as 1.36363…. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 15/11 in decimal, 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 (15) will be taken as the dividend and the denominator (11) will be taken as the divisor.

Step 2: Divide 15 by 11. Here, 15 is larger than 11, so the division will immediately produce a whole number and a remainder.

Step 3: 11 goes into 15 once (11 × 1 = 11). Write 1 in the quotient place and subtract 11 from 15 to get the remainder 4.

Step 4: Bring down a 0 in the dividend place, making it 40. Divide 40 by 11.

Step 5: 11 goes into 40 three times (11 × 3 = 33). Write 3 in the quotient place, subtract 33 from 40 to get the remainder 7.

Step 6: Bring down another 0, making it 70. Divide 70 by 11.

Step 7: 11 goes into 70 six times (11 × 6 = 66). Write 6 in the quotient place, subtract 66 from 70 to get the remainder 4.

Step 8: Repeat the process as 4 repeats, resulting in the recurring decimal 1.36363...

The answer for 15/11 as a decimal will be 1.36363…

• 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 one or more digits is repeated infinitely.