4 27/125 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 27, represents how many parts out of the whole, and the denominator (number below) shows how many parts make the whole, here it is 125. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 4 27/125 as a decimal?

$4 27/125 as a decimal$

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.