17/40 as a Decimal

Answer

17/40 in decimals can be written as 0.425. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 17/40 in decimal, we will use the division method. Here as 17 is smaller than 40, we will take help of decimal method which will give us 0.425. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (40) will be taken as the divisor.

Step 2: As 17 is smaller than 40, it can't be divided directly. Here we will take the help of decimals. We will add 0 to the dividend, which will make 17 as 170 and add a decimal point in the quotient place.

Step 3: Now that it is 170, we can divide it by 40. Let's see how many times 40 fits into 170.

Step 4: 40 goes into 170 four times, since 40 × 4 = 160. We write 4 in the quotient place and subtract 160 from 170 to get 10.

Step 5: Bring down another 0 in the dividend place, making it 100, and then divide again by 40.

Step 6: 40 goes into 100 twice, since 40 × 2 = 80. We write 2 in the quotient place and subtract 80 from 100 to get 20.

Step 7: Bring down another 0 in the dividend place, making it 200, and then divide again by 40.

Step 8: 40 goes into 200 five times, since 40 × 5 = 200. We write 5 in the quotient place. The remainder is 0, so the division process stops.

The answer for 17/40 as a decimal will be 0.425.

• 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.