9 5/8 as a Decimal

Answer

9 5/8 in decimals can be written as 9.625. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 9 5/8 into a decimal, we will first convert the fraction 5/8 into a decimal and then add it to the whole number 9. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. The whole number is 9, and the fraction is 5/8.

Step 2: To convert 5/8 into a decimal, we will use the division method. Here, 5 is the numerator and will be the dividend, while 8 is the denominator and will be the divisor.

Step 3: Divide 5 by 8. Since 5 is smaller than 8, we will use the decimal method. We will add 0 to 5, making it 50, and place a decimal point in the quotient.

Step 4: Divide 50 by 8, which gives 6 as the quotient, and the remainder is 2.

Step 5: Bring down another 0, making it 20. Divide 20 by 8, which gives 2 as the quotient, and the remainder is 4.

Step 6: Bring down another 0, making it 40. Divide 40 by 8, which gives 5 as the quotient, and the remainder is 0.

The answer for 5/8 as a decimal is 0.625. Adding this to the whole number 9 gives us 9.625.

• 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.