4 27/125 as a Decimal

Answer

4 27/125 in decimals can be written as 4.216. It is a terminating decimal because the division process ends.

Explanation

To get 4 27/125 in decimal, we will first convert the fraction 27/125 to a decimal. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (27) will be taken as the dividend and the denominator (125) will be taken as the divisor.

Step 2: Divide 27 by 125. Since 27 is smaller than 125, we need to use the decimal method. We will add 0 to the dividend, making it 270, and add a decimal point in the quotient place.

Step 3: Now that it is 270, we can divide it by 125. Let's see how many times 125 fits into 270.

Step 4: 125 fits into 270 twice, giving us 250 (because 125 × 2 = 250). Write 2 in the quotient place and subtract 250 from 270 to get 20.

Step 5: Bring down another 0, making it 200. Divide 200 by 125, which fits 1 time (125 × 1 = 125). Write 1 in the quotient place and subtract 125 from 200 to get 75.

Step 6: Bring down another 0, making it 750. Divide 750 by 125, which fits 6 times (125 × 6 = 750). Write 6 in the quotient place. The remainder is 0, so the division ends here.

Thus, 27/125 as a decimal is 0.216, and adding the whole number 4 gives us 4.216.

• 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.