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110 LearnersLast updated on March 7th, 2025
0.345 as a Fraction
Numbers can be categorized into different types. A fraction is one such type. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2; numbers in decimal form are expressed with a decimal point (.), such as 0.345. We are going to learn how to convert a decimal to a fraction.
What is 0.345 as a Fraction?
Answer:
The answer for 0.345 as a fraction is 69/200.
Explanation:
Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.
Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 0.345 is the number in the numerator, and the base number 1 will be the denominator. Then, 0.345 becomes 0.345/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 0.345/1 × 1000/1000 = 345/1000
Step 3: Here 5 is the GCD of 345 and 1000. To make the fraction simpler, divide the numerator and denominator by 5. 345/1000 = 69/200 Hence, 0.345 is in the form of a fraction as 69/200.
Thus, 0.345 can be written as a fraction 69/200.
Important Glossaries for 0.345 as a Fraction
- 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.
- Greatest Common Divisor (GCD): The largest positive integer that divides each of the integers without a remainder.
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