39/40 as a Decimal

Answer

39/40 in decimals can be written as 0.975. It is a terminating decimal, meaning it ends and does not repeat.

Explanation

To get 39/40 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 (39) will be taken as the dividend and the denominator (40) will be taken as the divisor.

Step 2: As 39 is smaller than 40, we will take the help of decimals. We will add 0 to the dividend, which will make 39 as 390 and add a decimal point in the quotient place.

Step 3: Now that it is 390, we can divide it by 40. Let's see how many times 40 makes 390.

Step 4: 390 is not an exact multiple of 40, so we will look for the nearest number that is 40 × 9 = 360. We will write 9 in the quotient place and subtract 360 from 390, which gives 30.

Step 5: Bring down another 0 in the dividend place and make 30 as 300, then divide again.

Step 6: 40 goes into 300 exactly 7 times, as 40 × 7 = 280. Subtracting 280 from 300 gives 20.

Step 7: Bring down another 0 to make 200, then divide by 40. 40 goes into 200 exactly 5 times, as 40 × 5 = 200. The division process ends with a remainder of 0, which indicates a terminating decimal.

The answer for 39/40 as a decimal will be 0.975.

• 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.