3 4/25 as a Decimal

Answer

3 4/25 in decimals can be written as 3.16. It is a terminating decimal

Explanation

To convert 3 4/25 into decimal, we will use the division method for the fractional part. Let's break down the process step by step:

Step 1: Identify the fraction part 4/25. The numerator (4) is the dividend, and the denominator (25) is the divisor.

Step 2: Divide 4 by 25 to convert the fraction into a decimal. Since 4 is smaller than 25, we add a decimal point and 0 in the quotient place.

Step 3: Now treat the 4 as 40. Divide 40 by 25. The nearest multiple is 25 × 1 = 25.

Step 4: Subtract 25 from 40, which leaves 15. Bring down another 0 to make it 150.

Step 5: Divide 150 by 25. The nearest multiple is 25 × 6 = 150. Subtract to get 0 as the remainder. The decimal representation of 4/25 is 0.16. Adding the whole number part, 3, we get 3.16 as the decimal.

Thus, the answer for 3 4/25 as a decimal is 3.16.

• Mixed Number: A number consisting of an integer and a proper fraction.
   
• 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.