10 5/8 as a Decimal

Answer

10 5/8 in decimals can be written as 10.625. It is a terminating decimal, meaning it does not repeat and ends after a certain number of digits.

Explanation

To get 10 5/8 in decimal, we will convert the fractional part (5/8) to a decimal and then add it to the whole number 10. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend, and the denominator (8) will be taken as the divisor.

Step 2: Divide 5 by 8 using long division.

Step 3: Since 5 is smaller than 8, we will take the help of decimals. We will add a decimal point in the quotient and a zero to the dividend, making it 50.

Step 4: Divide 50 by 8, which gives 6 with a remainder of 2.

Step 5: Bring down another 0 in the dividend place, making it 20. Now divide 20 by 8, which gives 2 with a remainder of 4.

Step 6: Again, bring down another 0 in the dividend place, making it 40. Divide 40 by 8, which gives 5 with no remainder. The division process ends here, and the fractional part 5/8 is equivalent to 0.625.

Adding this to the whole number 10 gives us 10.625.

• 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.