Solve 4/5 - 1/3 In 3 Easy Steps

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Solving mathematical problems can be a daunting task, but with the right approach, it can be made easier. In this article, we will break down the solution to the problem 4/5 - 1/3 into three easy steps.

Understanding the Problem

Before we dive into the solution, let's take a moment to understand the problem. We are asked to subtract 1/3 from 4/5. To do this, we need to have a common denominator, which is the least common multiple (LCM) of 5 and 3.

Step 1: Find the Least Common Multiple (LCM)

To find the LCM of 5 and 3, we can list the multiples of each number and find the smallest common multiple.

Multiples of 5: 5, 10, 15, 20, 25,... Multiples of 3: 3, 6, 9, 12, 15,...

As we can see, the smallest common multiple of 5 and 3 is 15. Therefore, we will convert both fractions to have a denominator of 15.

Converting Fractions to Have a Common Denominator

To convert 4/5 to have a denominator of 15, we can multiply both the numerator and denominator by 3.

4/5 = (4 × 3) / (5 × 3) = 12/15

Similarly, to convert 1/3 to have a denominator of 15, we can multiply both the numerator and denominator by 5.

1/3 = (1 × 5) / (3 × 5) = 5/15

Step 2: Subtract the Fractions

Now that we have both fractions with a common denominator, we can subtract them.

12/15 - 5/15 = (12 - 5) / 15 = 7/15

Simplifying the Result

The result of the subtraction is 7/15. This fraction is already in its simplest form, so we don't need to simplify it further.

Step 3: Checking Our Work

To check our work, we can plug the result back into the original equation and make sure it's true.

4/5 - 1/3 = 7/15

We can also try converting the fractions back to their original form and checking if the equation is true.

4/5 = 12/15 1/3 = 5/15

12/15 - 5/15 = 7/15

Both methods confirm that our solution is correct.

Conclusion: Solving Math Problems Made Easy

In conclusion, solving mathematical problems like 4/5 - 1/3 can be made easy by breaking it down into simple steps. By finding the least common multiple, converting fractions to have a common denominator, subtracting the fractions, and simplifying the result, we can arrive at the correct solution.

Real-World Applications of Solving Math Problems

Solving math problems is not just limited to academic purposes. It has numerous real-world applications in various fields, such as science, engineering, economics, and finance. By mastering mathematical concepts and problem-solving skills, we can improve our critical thinking, analytical skills, and decision-making abilities.

Best Practices for Solving Math Problems

Here are some best practices for solving math problems:

• Read the problem carefully and understand what is being asked.
• Break down complex problems into simpler ones.
• Use visual aids, such as diagrams and charts, to help solve problems.
• Check your work by plugging the solution back into the original equation.
• Practice, practice, practice! The more you practice, the better you'll become at solving math problems.

We encourage you to share your thoughts and comments on this article. Do you have any favorite tips or strategies for solving math problems? Share them with us in the comments below!