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116 LearnersLast updated on March 11th, 2025
7/32 as a Decimal
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, 7, 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 decimal point (.) 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.
What is 7/32 as a decimal?
Answer
7/32 in decimals can be written as 0.21875. It is a terminating decimal, meaning it ends after a finite number of digits.
Explanation
To convert 7/32 into a decimal, we will use the division method. Here, as 7 is smaller than 32, we will use the decimal method, which will give us 0.21875. 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 (32) will be taken as the divisor.
Step 2: As 7 is smaller than 32, it can't be divided directly; we will take the help of decimals. We will add 0 to the dividend, making it 70, and add a decimal point in the quotient place.
Step 3: Now that it is 70, we can divide it by 32. Let's see how many times 32 fits into 70.
Step 4: 32 fits into 70 twice (2 × 32 = 64). We will write 2 in the quotient place and subtract 64 from 70, which gives 6.
Step 5: Bring down another 0 in the dividend place, making it 60, and repeat the division process.
Step 6: 32 fits into 60 once (1 × 32 = 32). Subtracting 32 from 60 gives us 28.
Step 7: Bring down another 0, making it 280. 32 fits into 280 eight times (8 × 32 = 256). Subtracting 256 gives 24.
Step 8: Bring down another 0, making it 240. 32 fits into 240 seven times (7 × 32 = 224). Subtracting 224 gives 16.
Step 9: Bring down another 0, making it 160. 32 fits into 160 five times (5 × 32 = 160). Subtracting 160 gives 0. The division process ends here with no remainder, indicating a terminating decimal.
The answer for 7/32 as a decimal is 0.21875.
Important Glossaries for 7/32 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 and does not repeat infinitely.
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