5/13 as a Decimal

Answer

5/13 in decimals can be written as approximately 0.384615. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 5/13 in decimal, we will use the division method. Here, as 5 is smaller than 13, we will take the help of the decimal method, which will give us 0.384615. 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 (13) will be taken as the divisor.

Step 2: As 5 is smaller than 13, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 5 as 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 13. Let's see how many times 13 fits into 50.

Step 4: 50 is not a multiple of 13, so we will look for the nearest number that is 13 × 3 = 39. We will write 3 in the quotient place and subtract 39 from 50, which gives 11.

Step 5: Bring down another 0 in the dividend place, making 11 as 110, and then repeat the division process. The division process continues, and we do not get the remainder as 0. This process is called a recurring decimal.

The answer for 5/13 as a decimal will be approximately 0.384615...

• 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 sequence of digits indefinitely.