7/13 as a Decimal

Answer

7/13 in decimals can be written as approximately 0.53846. It is a non-recurring decimal.

Explanation

To get 7/13 in decimal, we will use the division method. Here, as 7 is smaller than 13, we will take help of the decimal method.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (13) will be taken as the divisor.

Step 2: As 7 is smaller than 13, it can't be divided, so we will use decimals. We add 0 to the dividend, which will make 7 as 70 and add a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 13. Let's see how many times 13 makes 70.

Step 4: 70 is not a multiple of 13, so we will look for the nearest number. 13 × 5 = 65.

Step 5: Write 5 in the quotient place and subtract 65 from 70, which gives 5.

Step 6: Bring down another 0 in the dividend place, making it 50, and then repeat the division process.

The division process continues, and we eventually get 7/13 as approximately 0.53846.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses 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.

• Non-recurring Decimal: A decimal that does not have a repeating sequence of numbers.