100 LearnersLast updated on May 26th, 2025
7/24 as a Decimal
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 (number on the top), here 7 represents how many parts out of the whole. The denominator (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 fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
What is 7/24 as a decimal?
Answer
7/24 in decimals can be written as approximately 0.29166. It is a terminating decimal, showing it ends after a certain number of digits.
Explanation
To get 7/24 in decimal, we will use the division method. Since 7 is smaller than 24, we will use the decimal method to perform the calculation. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (24) will be taken as the divisor.
Step 2: As 7 is smaller than 24, it can't be divided. We will take the help of decimals. We will add 0 to the dividend, making 7 as 70 and adding a decimal point in the quotient place.
Step 3: Now that it is 70, we can divide it by 24. Let's see how many times 24 fits into 70.
Step 4: 24 goes into 70 two times (24 × 2 = 48). We will write 2 in the quotient place and subtract 48 from 70, which gives 22.
Step 5: Bring down another 0 in the dividend place, making it 220, and then repeat the division process.
Step 6: 24 goes into 220 nine times (24 × 9 = 216). We write 9 in the quotient place and subtract 216 from 220, which gives 4.
Step 7: Bring down another 0, making it 40, and repeat the division process.
Step 8: 24 goes into 40 one time (24 × 1 = 24). We write 1 in the quotient place and subtract 24 from 40, which gives 16.
Step 9: Bring down another 0, making it 160, and repeat the division process.
Step 10: 24 goes into 160 six times (24 × 6 = 144). We write 6 in the quotient place and subtract 144 from 160, which gives 16.
Step 11: Repeat the process.
The answer for 7/24 as a decimal is approximately 0.29166.
Important Glossaries for 7/24 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Terminating Decimal: A decimal that ends after a certain number of digits and does not repeat infinitely.
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