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Last updated on March 27th, 2025
It is a straightforward question about decimal conversion. First, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top), here 13, which indicates how many parts out of the whole, and the denominator (the number below), here 24, which shows how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a (.) or 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.
13/24 in decimal form can be written as approximately 0.54166. This is a terminating decimal.
To convert 13/24 to a decimal, we use division. Since 13 is smaller than 24, we use the decimal method to perform long division, which will give us approximately 0.54166. Let's go through the process step by step:
Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (24) as the divisor.
Step 2: As 13 is smaller than 24, it can't be divided directly, so we use decimals. We add 0 to the dividend, making it 130, and add a decimal point in the quotient place.
Step 3: Now, we divide 130 by 24. We determine how many times 24 fits into 130.
Step 4: 24 fits into 130 approximately 5 times (5 × 24 = 120); we write 5 in the quotient and subtract 120 from 130, leaving 10.
Step 5: Bring down another 0 to make it 100, and repeat the division process with 24.
Step 6: Continue this process until the division reaches a point where the remainder is 0, or it becomes clear the decimal will terminate.
The resulting decimal for 13/24 is approximately 0.54166.