49/4 as a Decimal

Answer

49/4 in decimals can be written as 12.25. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 49/4 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (49) will be taken as the dividend, and the denominator (4) will be taken as the divisor.

Step 2: Divide 49 by 4. 4 goes into 49 twelve times (4 × 12 = 48), so we write 12 in the quotient place.

Step 3: Subtract 48 from 49, which gives us 1 as the remainder.

Step 4: Bring down a 0 to the remainder, making it 10, and continue the division.

Step 5: 4 goes into 10 two times (4 × 2 = 8), write 2 after the decimal point in the quotient.

Step 6: Subtract 8 from 10, which gives us 2. Bring down another 0, making it 20.

Step 7: 4 goes into 20 five times (4 × 5 = 20), and the remainder becomes 0. This process concludes because we have a remainder of 0, resulting in a terminating decimal.

The answer for 49/4 as a decimal will be 12.25.

• 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.