15/40 as a Decimal

Answer

15/40 in decimals can be written as 0.375. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 15/40 into a decimal, we will use the division method. Here, as 15 is smaller than 40, we will take the help of the decimal method, which will give us 0.375. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator since the numerator (15) will be taken as the dividend and the denominator (40) will be taken as the divisor.

Step 2: As 15 is smaller than 40, it can't be divided directly, so we will take the help of decimals. We will add a decimal point in the quotient and append 0 to the dividend, making 15 as 150.

Step 3: Now that it is 150, we can divide it by 40. Let's see how many times 40 fits into 150.

Step 4: 40 goes into 150 three times since 40 × 3 = 120. We will write 3 in the quotient place and subtract 120 from 150, giving us 30.

Step 5: Bring down another 0 in the dividend place, making it 300, and then repeat the division process.

Step 6: 40 goes into 300 seven times since 40 × 7 = 280. Write 7 in the quotient place and subtract 280 from 300, giving us 20.

Step 7: Bring down another 0, making it 200.

Step 8: 40 goes into 200 five times since 40 × 5 = 200. Write 5 in the quotient place, and the remainder is 0.

The answer for 15/40 as a decimal is 0.375.

• 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.