31/125 as a Decimal

Answer

31/125 in decimals can be written as 0.248. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 31/125 to a decimal, we will use the division method. Here, as 31 is smaller than 125, we will use the decimal method to perform the division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (31) will be taken as the dividend and the denominator (125) will be taken as the divisor.

Step 2: As 31 is smaller than 125, it cannot be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, making it 310, and add a decimal point in the quotient place.

Step 3: Now that it is 310, we can divide it by 125. Let's see how many times 125 goes into 310.

Step 4: 125 goes into 310 two times (2 × 125 = 250). We will write 2 in the quotient place and subtract 250 from 310, which gives us 60.

Step 5: Bring down another 0 in the dividend place, making it 600, and then repeat the division process.

Step 6: 125 goes into 600 four times (4 × 125 = 500). Write 4 in the quotient place and subtract 500 from 600, which gives us 100.

Step 7: Bring down another 0 in the dividend place, making it 1000, and divide again.

Step 8: 125 goes into 1000 eight times (8 × 125 = 1000). Write 8 in the quotient place, and the remainder is 0.

The division process ends here, and the answer for 31/125 as a decimal is 0.248.

• 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.