10 3/20 as a Decimal

Answer

10 3/20 in decimals can be written as 10.15. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 10 3/20 to a decimal, we will first convert the fractional part, 3/20, into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (20) as the divisor.

Step 2: Divide 3 by 20. Since 3 is smaller than 20, we will use decimals.

Step 3: Add a decimal point and a zero to 3, making it 30, and add a decimal point in the quotient.

Step 4: Divide 30 by 20. 20 goes into 30 one time, so write 1 in the quotient place and subtract 20 from 30, giving 10.

Step 5: Bring down another 0, making it 100, and divide by 20. 20 goes into 100 five times.

Step 6: Write 5 in the quotient place. There is no remainder, so the division ends here. Thus, 3/20 is 0.15.

Adding this to the whole number 10, we get 10.15.

• 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.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.
   
• Division: The mathematical operation where a number is divided by another number to find a quotient.