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108 LearnersLast updated on March 11th, 2025
12/32 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 a whole. It has two parts: the numerator (number on the top), here 12, 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 (.) or 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 12/32 as a decimal?
Answer
12/32 in decimals can be written as 0.375. It is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To convert 12/32 to a decimal, we will use the division method. Here, since 12 is smaller than 32, we can proceed directly with division. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (12) will be taken as the dividend and the denominator (32) will be taken as the divisor.
Step 2: Divide 12 by 32. Since 12 is smaller than 32, we can add a decimal point and a zero to the dividend, making it 120.
Step 3: Now divide 120 by 32. The quotient is 3, as 32 times 3 is 96. Subtract 96 from 120, which gives 24.
Step 4: Bring down another 0, making it 240. Divide 240 by 32, which gives a quotient of 7, as 32 times 7 is 224. Subtract 224 from 240, which gives 16.
Step 5: Bring down another 0, making it 160. Divide 160 by 32, which gives a quotient of 5, as 32 times 5 is 160. Subtract 160 from 160, which gives 0. Since the remainder is 0, the division process stops here.
The answer for 12/32 as a decimal will be 0.375.
Important Glossaries for 12/32 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.
