13/18 as a Decimal

Answer

13/18 in decimals can be written as approximately 0.7222. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 13/18 in decimal, we will use the division method. Here as 13 is smaller than 18, we will take the help of the decimal method, which will give us 0.7222. 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 (18) will be taken as the divisor.

Step 2: As 13 is smaller than 18, it can't be divided directly. 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 18. Let's see how many times 18 makes 130.

Step 4: 18 goes into 130 approximately 7 times (since 18 × 7 = 126). We will write 7 in the quotient place and subtract 126 from 130, giving 4.

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

Step 6: 18 goes into 40 approximately 2 times (since 18 × 2 = 36). We will write 2 in the quotient place and subtract 36 from 40, giving 4.

Step 7: Bring down another 0 and repeat the division process to see that the division continues without the remainder reaching 0. This process is called a recurring decimal.

The answer for 13/18 as a decimal will be approximately 0.7222……

• 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 one or more digits repeat infinitely. ```