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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: numerator (the number on the top) here, 9 represents 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 the number that is 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.
9/24 in decimal form can be written as 0.375.
To convert 9/24 into a decimal, we use the division method. Since 9 is smaller than 24, we will use the decimal method to perform the division, which will give us 0.375. Let's break down the process step-by-step:
Step 1: Identify the numerator and denominator. The numerator (9) will be the dividend and the denominator (24) will be the divisor.
Step 2: Since 9 is smaller than 24, we can't divide it directly. We will add a decimal point in the quotient and add zeros to the dividend.
Step 3: Now, consider 90 (by adding a zero) divided by 24. Determine how many times 24 fits into 90.
Step 4: 24 goes into 90 three times (3 × 24 = 72). Place 3 in the quotient, subtract 72 from 90 to get 18.
Step 5: Bring down another 0, making it 180.
Step 6: 24 goes into 180 seven times (7 × 24 = 168). Place 7 in the quotient, subtract 168 from 180 to get 12.
Step 7: Bring down another 0, making it 120.
Step 8: 24 goes into 120 five times (5 × 24 = 120), giving no remainder.
Thus, 9/24 as a decimal is 0.375.