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103 LearnersLast updated on March 13th, 2025
28/32 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), which here is 28, representing how many parts out of the whole. The denominator (number below) shows how many parts make the whole, which here is 32. A decimal is a way to represent a 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 those to the right represent the fractional part.
What is 28/32 as a decimal?
Answer
28/32 in decimals can be written as 0.875. It is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To get 28/32 in decimal form, we will use the division method. Here, the numerator 28 will be taken as the dividend, and the denominator 32 will be taken as the divisor.
Step 1: Identify the numerator and the denominator. Here, the numerator (28) will be the dividend, and the denominator (32) will be the divisor.
Step 2: Divide 28 by 32. Since 28 is smaller than 32, we will begin with the decimal method. We will add a decimal point in the quotient and append zero to make it 280.
Step 3: Determine how many times 32 fits into 280.
Step 4: 32 fits into 280 approximately 8 times (since 32 × 8 = 256). Write 8 in the quotient place and subtract 256 from 280, leaving a remainder of 24.
Step 5: Bring down another 0, making it 240, and repeat the division process. 32 fits into 240 approximately 7 times (since 32 × 7 = 224). Subtract 224 from 240 to get a remainder of 16.
Step 6: Bring down another 0, making it 160, and divide by 32. 32 fits into 160 exactly 5 times (since 32 × 5 = 160), leaving a remainder of 0. Since we have a remainder of 0, the process ends here, and we have a terminating decimal.
The answer for 28/32 as a decimal is 0.875.
Important Glossaries for 28/32 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 the whole.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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