7/40 as a Decimal

Answer

7/40 in decimals can be written as 0.175. It is a terminating decimal, showing it ends after a few digits.

Explanation

To get 7/40 in decimal, we will use the division method. Here, as 7 is smaller than 40, we will take the help of the decimal method which will give us 0.175. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (40) will be taken as the divisor.

Step 2: As 7 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 7 as 70 and add a decimal point in the quotient place.

Step 3: Divide 70 by 40. 40 goes into 70 once, so we write 1 in the quotient place. Subtract 40 from 70 gives 30.

Step 4: Bring down another 0 in the dividend place making it 300. Divide 300 by 40. 40 goes into 300 seven times, so we write 7 in the quotient place. Subtract 280 from 300 gives 20.

Step 5: Bring down another 0 making it 200. Divide 200 by 40. 40 goes into 200 five times, so we write 5 in the quotient place. Subtract 200 from 200 gives 0, completing the division. The division process ends with a remainder of 0. This decimal is called a terminating decimal.

The answer for 7/40 as a decimal will be 0.175.

• 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.