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117 LearnersLast updated on March 4th, 2025
3 1/5 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (the number on the top), which in this case is 1, representing how many parts out of the whole, and the denominator (the number below), which is 5, showing how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.
What is 3 1/5 as a decimal?
Answer
3 1/5 in decimals can be written as 3.2. It is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To convert 3 1/5 into a decimal, we first need to express the fraction 1/5 as a decimal. Let's break down the process:
Step 1: Identify the fraction part, which is 1/5.
Step 2: Divide the numerator (1) by the denominator (5) using long division.
Step 3: Since 1 is smaller than 5, add a decimal point and a zero to make it 10.
Step 4: Divide 10 by 5, which equals 2.
Step 5: Therefore, 1/5 as a decimal is 0.2.
Step 6: Combine this with the whole number part, 3, to get 3 + 0.2 = 3.2. Thus, 3 1/5 as a decimal is 3.2.
Important Glossaries for 3 1/5 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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