Table Of Contents
Last updated on March 3rd, 2025
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 top) here, 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 numbers that are not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
4 1/8 in decimals can be written as 4.125.
To get 4 1/8 in decimal, we will convert the fraction part (1/8) into a decimal and add it to the whole number (4). Let's see the step-by-step breakdown of the process:
Step 1: Identify the whole number and the fraction. Here, 4 is the whole number and 1/8 is the fraction.
Step 2: Convert 1/8 into a decimal using division. The numerator (1) is the dividend, and the denominator (8) is the divisor.
Step 3: Divide 1 by 8. As 1 is smaller than 8, we use decimal division. Add a decimal point in the quotient and make 1 as 10 by bringing down a 0.
Step 4: 8 goes into 10 once (8 × 1 = 8). Subtract 8 from 10 to get 2.
Step 5: Bring down another 0 to make 20. 8 goes into 20 twice (8 × 2 = 16). Subtract 16 from 20 to get 4.
Step 6: Bring down another 0 to make 40. 8 goes into 40 five times (8 × 5 = 40). Subtract 40 from 40 to get 0. The division process ends here as we get the remainder as 0. The answer for 1/8 as a decimal is 0.125.
Therefore, 4 1/8 as a decimal is 4 + 0.125 = 4.125.