17/4 as a Decimal

Answer

17/4 in decimals can be written as 4.25. It is a terminating decimal because it ends after a finite number of digits.

Explanation

To get 17/4 in decimal, we will use the division method. Since 17 is larger than 4, we will divide directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (4) will be taken as the divisor.

Step 2: Divide 17 by 4.

Step 3: 4 goes into 17 four times (4 × 4 = 16). Write 4 in the quotient place. Subtract 16 from 17 to get a remainder of 1.

Step 4: Bring down a 0 to make it 10. Divide 10 by 4.

Step 5: 4 goes into 10 two times (4 × 2 = 8). Write 2 in the quotient place after a decimal point. Subtract 8 from 10 to get a remainder of 2.

Step 6: Bring down another 0 to make it 20. Divide 20 by 4.

Step 7: 4 goes into 20 five times (4 × 5 = 20). Write 5 in the quotient place. Subtract 20 from 20 to get a remainder of 0. Since the remainder is 0, the division process stops here.

The answer for 17/4 as a decimal is 4.25.

• 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.