4 17/125 as a Decimal

Answer

4 17/125 in decimals can be written as 4.136. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 4 17/125 into a decimal, we separate the whole number from the fractional part. The whole number is 4. For the fractional part, we use division method:

Step 1: Identify the numerator and denominator. The numerator (17) will be taken as the dividend and the denominator (125) will be the divisor.

Step 2: Divide 17 by 125. As 17 is smaller than 125, we will add 0 to the dividend, making it 170, and place a decimal point in the quotient.

Step 3: Divide 170 by 125, which goes 1 time (125 × 1 = 125). Subtract 125 from 170 to get 45.

Step 4: Bring down another 0 to make it 450 and divide by 125 again. This goes 3 times (125 × 3 = 375). Subtract 375 from 450 to get 75.

Step 5: Bring down another 0 to make it 750 and divide by 125, which goes 6 times (125 × 6 = 750). This results in a remainder of 0, ending the division. Thus, 17/125 as a decimal is 0.136.

Adding the whole number part, 4, we get 4.136.

• 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.