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Last updated on March 16th, 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 (the number on the top), here 22, representing how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 24. A decimal is a way to represent a number that is not whole, using a decimal point (.) 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.
22/24 in decimals can be written as approximately 0.91667. It is a terminating decimal.
To get 22/24 in decimal, we will use the division method. Here as 22 is smaller than 24, we will use the division method which will give us approximately 0.91667. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (22) will be taken as the dividend and the denominator (24) will be taken as the divisor.
Step 2: As 22 is smaller than 24, it can't be divided directly into a whole number, so we will use decimals. We will add a decimal point and a zero to the dividend, making it 220.
Step 3: Now that it is 220, we can divide it by 24. Let's see how many times 24 fits into 220.
Step 4: 24 goes into 220 approximately 9 times because 24 × 9 = 216. We will write 9 in the quotient place and subtract 216 from 220, which gives us a remainder of 4.
Step 5: Bring down another 0 in the dividend place, making it 40, and then repeat the division process.
Step 6: 24 goes into 40 once, with a remainder of 16, and this process continues until we reach a remainder that gives a terminating decimal.
The answer for 22/24 as a decimal is approximately 0.91667.