4/15 as a Decimal

Answer

4/15 in decimals can be written as 0.26666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 4/15 in decimal, we will use the division method. Here, as 4 is smaller than 15, we will take the help of the decimal method, which will give us 0.2666. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend and the denominator (15) will be taken as the divisor.

Step 2: As 4 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 4 as 40, and add a decimal point in the quotient place.

Step 3: Now that it is 40, we can divide it by 15. Let's see how many times 15 makes 40.

Step 4: 40 is not a multiple of 15, so we will look for the nearest number that is 15 × 2 = 30. We will write 2 in the quotient place and subtract 30 from 40, which gives 10.

Step 5: Bring down another 0 in the dividend place and make 10 as 100, then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 4/15 as a decimal will be 0.2666……

• 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.