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 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 32. 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.
29/32 in decimals can be written as 0.90625. It is a terminating decimal, meaning the digits do not repeat infinitely.
To get 29/32 in decimal, we will use the division method. Here, as 29 is smaller than 32, we will use the decimal method, which will give us 0.90625. 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 (32) will be taken as the divisor.
Step 2: As 29 is smaller than 32, it can't be divided, so we will take the help of decimals. We will add 0 to the dividend, which will make 29 into 290 and add a decimal point in the quotient place.
Step 3: Now that it is 290, we can divide it by 32. Let's see how many times 32 goes into 290.
Step 4: 32 goes 9 times into 290 because 32 × 9 = 288. We will write 9 in the quotient place and subtract 288 from 290, leaving 2.
Step 5: Bring down another 0 in the dividend place, making it 20, and then repeat the division process. Continue this process until you reach a remainder of 0 or until you have enough decimal places. The division process ends, and the answer for 29/32 as a decimal will be 0.90625.