Solving 5/6 Minus 3/4 In Fraction Form

Quick Links :

Solving mathematical problems involving fractions can be a bit challenging, but with the right approach, it can be made easier. In this article, we will explore how to solve the problem of 5/6 minus 3/4 in fraction form.

Understanding the Problem

To solve the problem, we first need to understand what it means to subtract fractions. Subtracting fractions is similar to subtracting whole numbers, but we need to follow certain rules to ensure that the result is accurate. The problem 5/6 minus 3/4 requires us to subtract the fraction 3/4 from the fraction 5/6.

Finding a Common Denominator

One of the key steps in solving fraction problems is to find a common denominator. A common denominator is a number that both fractions can divide into evenly. In this case, the least common multiple (LCM) of 6 and 4 is 12. This means that we need to convert both fractions to have a denominator of 12.

Converting Fractions to Have a Common Denominator

To convert the fraction 5/6 to have a denominator of 12, we need to multiply the numerator and denominator by 2. This gives us:

5/6 = (5 x 2) / (6 x 2) = 10/12

Similarly, to convert the fraction 3/4 to have a denominator of 12, we need to multiply the numerator and denominator by 3. This gives us:

3/4 = (3 x 3) / (4 x 3) = 9/12

Subtracting Fractions

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

5/6 - 3/4 = 10/12 - 9/12

To subtract the fractions, we simply subtract the numerators (10 and 9) while keeping the denominator (12) the same. This gives us:

10/12 - 9/12 = 1/12

Simplifying the Result

The result of the subtraction is 1/12. Since the numerator is 1, we can simplify the fraction by dividing both the numerator and denominator by 1. However, in this case, the fraction is already in its simplest form.

Real-World Applications

Fraction problems like 5/6 minus 3/4 may seem abstract, but they have real-world applications. For example, a chef may need to subtract a certain amount of ingredients from a recipe that is written in fractions. By understanding how to subtract fractions, the chef can ensure that the dish is prepared correctly.

Tips and Tricks

Here are some tips and tricks to help you solve fraction problems like 5/6 minus 3/4:

• Always find a common denominator before subtracting fractions.
• Make sure to multiply both the numerator and denominator by the same number when converting fractions.
• Use visual aids like diagrams or charts to help you understand the problem.
• Practice, practice, practice! The more you practice solving fraction problems, the more comfortable you will become.

Conclusion and Next Steps

In this article, we explored how to solve the problem of 5/6 minus 3/4 in fraction form. By finding a common denominator, converting fractions, and subtracting the numerators, we arrived at the result of 1/12. We also discussed the importance of simplifying fractions and provided tips and tricks to help you solve similar problems.

If you're struggling with fraction problems, don't worry! With practice and patience, you can become proficient in solving them. Try solving different fraction problems to build your skills and confidence.

FAQ