20/30 as a Decimal

Answer

20/30 in decimal form can be simplified first to 2/3, which is written as 0.6666666667.  It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 20/30 to a decimal, we will first simplify the fraction to 2/3. Then, we use the division method to get a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 20/30 to 2/3 by dividing both the numerator and the denominator by their greatest common divisor, which is 10.

Step 2: Identify the numerator and denominator for 2/3. The numerator (2) will be taken as the dividend, and the denominator (3) will be the divisor.

Step 3: As 2 is smaller than 3, we need to use decimals. We add a decimal point in the quotient and a zero to the dividend, making it 20.

Step 4: Divide 20 by 3. The closest multiple is 3 × 6 = 18. Write 6 in the quotient and subtract 18 from 20, leaving a remainder of 2.

Step 5: Bring down another 0, making it 20 again, and continue the division process. The division process continues, and we don't get the remainder as 0, resulting in a recurring decimal.

The answer for 20/30 as a decimal will be 0.6666666667.

• 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.
   
• Recurring Decimal: A decimal that repeats a digit or group of digits infinitely.