11 5/8 as a Decimal

Professor Greenline Explaining Math Concepts

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), which represents how many parts out of the whole, and the denominator (number below), which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 11 5/8 as a decimal?

$11 5/8 as a decimal$

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.