4 13/20 as a Decimal

Answer

4 13/20 in decimals can be written as 4.65. It is a terminating decimal, meaning it ends without repeating.

Explanation

To get 4 13/20 in decimal, we will convert the fractional part 13/20 into a decimal and then add it to the whole number 4. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (20) will be taken as the divisor.

Step 2: Perform the division 13 ÷ 20 to convert the fraction into a decimal.

Step 3: Since 13 is smaller than 20, we add a decimal point and zero to the dividend, making it 130.

Step 4: Divide 130 by 20, which results in 6 with a remainder of 10.

Step 5: Bring down another 0 to make it 100, and divide by 20, which results in 5 with a remainder of 0.

Step 6: Since there is no remainder, the decimal conversion for 13/20 is 0.65.

Step 7: Add this decimal to the whole number part, resulting in 4.65.

• Mixed Number: A number consisting of an integer and a proper fraction.
   
• 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.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.