13/14 as a Decimal

Answer

13/14 in decimals can be written as approximately 0.92857. It is a terminating decimal.

Explanation

To get 13/14 in decimal, we will use the division method. Here, 13 is smaller than 14, so we will use the decimal method, which will give us approximately 0.92857. 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 (14) will be taken as the divisor.

Step 2: As 13 is smaller than 14, 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 14. Let's see how many times 14 goes into 130.

Step 4: 130 divided by 14 is approximately 9, as 14 × 9 = 126. Write 9 in the quotient place and subtract 126 from 130 to get 4.

Step 5: Bring down another 0 in the dividend place to make 4 as 40 and then repeat the division process.

Step 6: 40 divided by 14 is approximately 2, as 14 × 2 = 28. Write 2 in the quotient place and subtract 28 from 40 to get 12.

Step 7: Continue the division process until you reach a remainder of 0 or decide to stop at a certain decimal place for approximation.

This process shows that 13/14 as a decimal is approximately 0.92857.

• 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.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.