17/60 as a Decimal

Answer

17/60 in decimals can be written as approximately 0.2833. This is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 17/60 in decimal, we will use the division method. Here, as 17 is smaller than 60, we will take help of the decimal method, which will give us 0.2833. 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 (60) will be taken as the divisor.

Step 2: As 17 is smaller than 60, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 17 as 170, and add a decimal point in the quotient place.

Step 3: Now that it is 170, we can divide it by 60. Let's see how many times 60 fits into 170.

Step 4: 170 is not a multiple of 60, so we will look for the nearest number; 60 × 2 = 120 is closest. We will write 2 in the quotient place and subtract 120 from 170, giving 50.

Step 5: Bring down another 0 in the dividend place, making it 500, and then continue the division process.

Step 6: 60 fits into 500 approximately 8 times (60 × 8 = 480), leaving a remainder of 20.

Step 7: Bring down another 0 to make it 200, and 60 fits into 200 approximately 3 times (60 × 3 = 180), leaving a remainder of 20 again. The division process continues until the remainder becomes 0 or a pattern repeats.

The answer for 17/60 as a decimal will be approximately 0.2833.

• 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.