15/24 as a Decimal

Answer

15/24 as a decimal can be written as 0.625. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 15/24 into a decimal, we will use the division method. Here, since 15 is smaller than 24, we will take the help of the decimal method, which will give us 0.625. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend and the denominator (24) will be taken as the divisor.

Step 2: As 15 is smaller than 24, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 15 as 150, and add a decimal point in the quotient place.

Step 3: Now that it is 150, we can divide it by 24. Let's see how many times 24 fits into 150.

Step 4: 24 goes into 150 six times (24 × 6 = 144). We will write 6 in the quotient place and subtract 144 from 150, which gives 6.

Step 5: Bring down another 0 in the dividend place, making it 60, and then repeat the division process.

Step 6: 24 goes into 60 two times (24 × 2 = 48). We will write 2 in the quotient place and subtract 48 from 60, which gives 12.

Step 7: Bring down another 0 in the dividend place, making it 120, and repeat the division.

Step 8: 24 goes into 120 five times (24 × 5 = 120). We will write 5 in the quotient place. The remainder is 0, indicating the division process ends.

The answer for 15/24 as a decimal will be 0.625.

• 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.