Table Of Contents
Last updated on March 15th, 2025
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: the numerator (number on the top) here, 29 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. 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.
29/8 in decimals can be written as 3.625. It is a terminating decimal, meaning it ends after a few digits.
To get 29/8 in decimal, we will use the division method. Here as 29 is larger than 8, we can directly divide to get a whole and fractional part. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (29) will be taken as the dividend and the denominator (8) will be taken as the divisor.
Step 2: Divide 29 by 8. See how many times 8 fits into 29.
Step 3: 8 goes into 29 three times (3 × 8 = 24). Write 3 in the quotient place.
Step 4: Subtract 24 from 29, which gives 5.
Step 5: Bring down a 0, making it 50, and divide by 8. 8 goes into 50 six times (6 × 8 = 48).
Step 6: Subtract 48 from 50, which gives 2. Bring down another 0, making it 20, and divide by 8. 8 goes into 20 two times (2 × 8 = 16).
Step 7: Subtract 16 from 20, which gives 4. Bring down another 0, making it 40, and divide by 8. 8 goes into 40 five times (5 × 8 = 40).
Step 8: Subtract 40 from 40, which gives 0. The division process ends here.
The answer for 29/8 as a decimal will be 3.625.