13/40 as a Decimal

Answer

13/40 in decimals can be written as 0.325. It is a terminating decimal, meaning it does not repeat the same digit infinitely.

Explanation

To get 13/40 in decimal, we will use the division method. 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 (40) will be taken as the divisor.

Step 2: Since 13 is smaller than 40, it can't be divided directly. We will add a decimal point and a 0 to the dividend, making it 130.

Step 3: Now that it is 130, we can divide it by 40. Let's see how many times 40 fits into 130.

Step 4: 40 goes into 130 three times, since 3 × 40 = 120. Write 3 in the quotient place and subtract 120 from 130 to get 10.

Step 5: Bring down another 0 in the dividend place to make it 100, and then divide again. 40 goes into 100 two times, as 2 × 40 = 80. Subtract 80 from 100 to get 20.

Step 6: Bring down another 0 to make it 200. 40 goes into 200 five times, as 5 × 40 = 200. Now, subtract 200 from 200 to get 0.

Since the remainder is 0, the division ends, and the answer for 13/40 as a decimal is 0.325.

• 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.