10 4/5 as a Decimal

Answer

10 4/5 in decimals can be written as 10.8. It is a terminating decimal, meaning it does not repeat and ends after one decimal place.

Explanation

To get 10 4/5 in decimal, we will use division method for the fractional part. The whole number 10 remains unchanged, and we convert 4/5 into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator of the fractional part because the numerator (4) will be taken as dividend and the denominator (5) will be taken as divisor.

Step 2: Divide 4 by 5. Since 4 is smaller than 5, we add a decimal point and a zero to make it 40.

Step 3: Divide 40 by 5, which equals 8.

Step 4: The decimal form of 4/5 is 0.8.

Step 5: Combine the whole number part and the decimal part to get the final answer: 10 + 0.8 = 10.8.

• 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.