325/790 as a Decimal

Answer

325/790 in decimals can be written as approximately 0.41139. It is a terminating decimal as the division process has a remainder of 0 at some point.

Explanation

To get 325/790 in decimal form, we will use the division method. Since 325 is smaller than 790, we will use the decimal method to divide, which will give us approximately 0.41139. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (325) will be taken as the dividend and the denominator (790) will be taken as the divisor.

Step 2: As 325 is smaller than 790, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 325 as 3250, and add a decimal point in the quotient place.

Step 3: Now that it is 3250, we can divide it by 790. Let's see how many times 790 can go into 3250.

Step 4: 3250 is not a multiple of 790, so we will look for the nearest number that is 790 × 4 = 3160. We will write 4 in the quotient place and subtract 3160 from 3250, which gives 90.

Step 5: Bring down another 0 in the dividend place, making 90 as 900, and then continue the division process. The division process continues until the remainder is 0, giving a terminating decimal.

The answer for 325/790 as a decimal will be approximately 0.41139.

• 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.