13/15 as a Decimal

Answer

13/15 in decimals can be written as 0.8666... It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 13/15 in decimal, we will use the division method. Here as 13 is smaller than 15, we will take help of the decimal method, which will give us 0.8666. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (15) will be taken as the divisor.

Step 2: As 13 is smaller than 15, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 13 as 130 and add a decimal point in the quotient place.

Step 3: Now that it is 130, we can divide it by 15. Let's see how many times 15 makes 130.

Step 4: 130 is not a multiple of 15, so we will look for the nearest number, which is 15 × 8 = 120. We will write 8 in the quotient place and subtract 120 from 130, which gives 10.

Step 5: Bring down another 0 in the dividend place and make 10 as 100, then repeat the division process.

Step 6: 15 goes into 100 six times (15 × 6 = 90). Write 6 in the quotient and subtract 90 from 100, which gives 10.

Step 7: Repeat the process to get more decimal places. The division process continues without the remainder reaching 0. This process is called a recurring decimal.

The answer for 13/15 as a decimal will be 0.8666...

• 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 digit or group of digits repeats infinitely.