3 Easy Steps To Simplify 3/5 + 1/4

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Mastering Fraction Addition: Simplifying 3/5 + 1/4

Adding fractions can seem intimidating, but with the right steps, it can be a breeze. One common challenge that many students face is adding fractions with different denominators. In this article, we will explore the 3 easy steps to simplify the expression 3/5 + 1/4.

Whether you're a student looking to improve your math skills or a teacher seeking ways to explain fraction addition to your students, this article is for you. By the end of this article, you'll be able to simplify 3/5 + 1/4 with ease and confidence.

Step 1: Find the Least Common Multiple (LCM)

To add fractions with different denominators, we need to find the least common multiple (LCM) of the two denominators. The LCM is the smallest multiple that both denominators share. In this case, the denominators are 5 and 4.

To find the LCM, we can list the multiples of each denominator:

Multiples of 5: 5, 10, 15, 20,... Multiples of 4: 4, 8, 12, 16, 20,...

As we can see, the first number that appears in both lists is 20. Therefore, the LCM of 5 and 4 is 20.

Why Do We Need the LCM?

The LCM is essential in fraction addition because it allows us to convert both fractions to have the same denominator. This makes it possible to add the numerators (the numbers on top) directly.

Step 2: Convert Both Fractions to Have the LCM as the Denominator

Now that we have the LCM, we can convert both fractions to have 20 as the denominator.

For the first fraction, 3/5, we need to multiply the numerator and denominator by 4 to get:

(3 x 4) / (5 x 4) = 12/20

For the second fraction, 1/4, we need to multiply the numerator and denominator by 5 to get:

(1 x 5) / (4 x 5) = 5/20

Now that both fractions have the same denominator, we can add them.

Step 3: Add the Numerators

Finally, we can add the numerators:

12/20 + 5/20 = (12 + 5)/20 = 17/20

And that's it! We have successfully simplified the expression 3/5 + 1/4 to get 17/20.

Conclusion: You're a Fraction Master!

Adding fractions may seem daunting at first, but by following these 3 easy steps, you can simplify even the most complex expressions. Remember to find the LCM, convert both fractions to have the LCM as the denominator, and add the numerators.

With practice and patience, you'll become a fraction master in no time. So, go ahead and try simplifying more expressions on your own. You got this!