8/15 as a Decimal

Answer

8/15 in decimal form can be written as 0.5333… It is a recurring decimal, meaning it will repeat the same digit infinitely.

Explanation

To convert 8/15 to a decimal, we will use the division method. Here, as 8 is smaller than 15, we will use the decimal method to find 0.5333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (15) will be taken as the divisor.

Step 2: As 8 is smaller than 15, it can't be divided. Here we will use decimals. We will add 0 to the dividend, making 8 as 80, and place a decimal in the quotient.

Step 3: Now that it is 80, we can divide it by 15. Let's see how many times 15 fits into 80.

Step 4: 15 × 5 = 75, which is the nearest multiple of 15 less than 80. We write 5 in the quotient place and subtract 75 from 80 to get 5.

Step 5: Bring down another 0 in the dividend place to make it 50 and repeat the division process. The division process continues, and we find that the remainder does not become 0, indicating a recurring decimal.

The answer for 8/15 as a decimal will be 0.5333…

• 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 has one or more repeating digits after the decimal point.