11 5/8 as a Decimal
2026-02-28 23:48 Diff
https://brightchamps.com/en-us/math/math-questions/11-5-8-as-a-decimal

Answer

11 5/8 in decimals can be written as 11.625. It is a terminating decimal, showing that it ends after a finite number of digits.

Explanation

To convert 11 5/8 into decimal, we will first convert the fractional part (5/8) into a decimal and then add it to the whole number (11).

Step 1: Identify the whole number and the fraction. Here, the whole number is 11, and the fraction is 5/8.

Step 2: Convert the fraction 5/8 into a decimal by dividing the numerator by the denominator.

Step 3: Divide 5 by 8. Since 5 is smaller than 8, we use decimals to continue the division process. Let's see the step-by-step breakdown of the process:

Divide 5 by 8, which gives 0 with a remainder of 5. - Add a decimal point and a zero, making it 50.

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

Add another zero, making it 20. - Divide 20 by 8, which gives 2 with a remainder of 4.

Add another zero, making it 40.

Divide 40 by 8, which gives 5 with a remainder of 0.

The division stops here as the remainder is 0, so 5/8 equals 0.625.

Step 4: Add 0.625 to the whole number 11, which results in 11.625.

The answer for 11 5/8 as a decimal will be 11.625.