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Understanding 12 - 2/5 and its Various Representations
Understanding 12 - 2/5 and its Various Representations
Welcome to this comprehensive guide on how to simplify and represent the fraction 12 - 2/5. Whether you are a student looking for a clear explanation or a teacher seeking resources to teach this concept to your class, this article will provide you with a thorough understanding and several methods to express 12 - 2/5.
Basic Operation: The Equation 12 - 2/5
The equation 12 - 2/5 needs to be solved by breaking it down step-by-step. To simplify the process, we can either convert the whole number 12 into a fraction with the same denominator as 2/5, which is 5, or simplify it directly. Here's how we approach it:
Step 1: Convert 12 into a Fraction
The number 12 can be expressed as a fraction by using the LCD (Least Common Denominator). The LCD for 1 and 5 is 5. We multiply both the numerator and denominator of 12 by 5 to make it 60/5.
Step 2: Perform the Subtraction
Now we can subtract the fraction 2/5 from 60/5:
12 - 2/5 60/5 - 2/5 (60 - 2)/5 58/5
Therefore, the simplified form of 12 - 2/5 is 58/5.
Expressing as a Mixed Number
A mixed number is a combination of a whole number and a fraction. In the case of 58/5, we can convert it back into a mixed number to make it easier to understand. To do this, we divide 58 by 5 to get 11, with a remainder of 3. So, we get:
58/5 11 3/5
Further Explanation:
When we express 58/5 as a mixed number, the whole number part is 11 and the fractional part is 3/5. This means that:
58/5 11 3/5 11.6 (as a decimal)
Converting to Decimal Form
From the above steps, we can convert the mixed number 11 3/5 to its decimal form by performing the division 3/5, which gives us 0.6. Adding this to the whole number 11, we get:
11 3/5 11 0.6 11.6
Additional Solutions:
Here are a few more ways to represent 12 - 2/5:
Expressing it as a mixed number: 11 3/5 Expressing it as a decimal: 11.6 Expressing it in fraction form: 58/5Purpose and Applications
Understanding 12 - 2/5 and its various representations is crucial in mathematics, especially in fields like engineering, physics, and finance, where precise calculations are necessary. It is also an essential basic skill for students to master in their early years of education.
By mastering these operations, students can enhance their problem-solving skills and build a strong foundation in mathematics, which is necessary for more advanced topics in later years.
Keywords: fractions, mixed numbers, decimal representation
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