4 4/25 as a Decimal

Answer

4 4/25 in decimals can be written as 4.16. It is a terminating decimal, meaning it does not repeat indefinitely.

Explanation

To convert 4 4/25 into a decimal, we will first separate the whole number and the fractional part. The whole number is 4. The fractional part is 4/25. Let's convert 4/25 into a decimal.

Step 1: Identify the numerator and denominator. The numerator (4) will be taken as the dividend, and the denominator (25) will be taken as the divisor.

Step 2: Divide 4 by 25. Since 4 is smaller than 25, we will use the decimal method. Add a decimal point in the quotient and bring down a zero, making the dividend 40.

Step 3: Divide 40 by 25. 25 goes into 40 once (1 x 25 = 25). Subtract 25 from 40, which leaves 15.

Step 4: Bring down another 0, making it 150. Divide 150 by 25. 25 goes into 150 six times (6 x 25 = 150).

Step 5: Subtract 150 from 150, leaving 0. Since the remainder is 0, the decimal terminates her

So, the decimal representation of 4 4/25 is 4.16.

• 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.