11 1/8 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (number on the top) and denominator (number below). In mixed numbers like 11 1/8, the whole number is 11, the numerator is 1, and the denominator is 8. A decimal is a way to represent a number that is not whole, using a (.) 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 1/8 as a decimal?

$11 1/8 as a decimal$

Answer

11 1/8 in decimals can be written as 11.125. It is a terminating decimal, meaning it ends after a finite number of digits.

Explanation

To convert 11 1/8 to a decimal, we first convert the fractional part (1/8) to a decimal. We will use the division method.

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

Step 2: Divide 1 by 8. Since 1 is smaller than 8, we will add a decimal point to the quotient and a 0 to the dividend, making it 10.

Step 3: Divide 10 by 8. 8 goes into 10 once, so we write 1 in the quotient place and subtract 8 from 10, giving us a remainder of 2.

Step 4: Bring down another 0, making it 20. Divide 20 by 8. 8 goes into 20 two times, so we write 2 in the quotient and subtract 16 from 20, resulting in a remainder of 4.

Step 5: Bring down another 0, making it 40. Divide 40 by 8. 8 goes into 40 exactly five times, so we write 5 in the quotient and have a remainder of 0. Thus, 1/8 as a decimal is 0.125.

Adding this to the whole number 11, we get 11.125 as the decimal representation of 11 1/8.