Simplify 7/36 In 3 Easy Steps

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Simplifying fractions can be a breeze with the right steps. Here's how to simplify 7/36 in 3 easy steps:

Step 1: Find the Greatest Common Divisor (GCD)

To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator (7) and the denominator (36). The GCD is the largest number that divides both numbers without leaving a remainder. We can list the factors of 7 and 36 to find the GCD:

Factors of 7: 1, 7 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

As we can see, the only common factor is 1. Therefore, the GCD of 7 and 36 is 1.

Step 2: Divide Both Numbers by the GCD

Since the GCD is 1, we can't simplify the fraction further by dividing both numbers by the GCD. However, we can try to find other common factors that can simplify the fraction.

Upon re-examining the factors of 36, we notice that 36 can be divided by 4, and the result is 9. We can also divide 7 by 1 (since 7 is a prime number). However, we can't find a common factor that simplifies the fraction further.

Step 3: Write the Simplified Fraction

Since we couldn't find a common factor to simplify the fraction, the simplified fraction remains the same:

7/36

However, we can express this fraction in a different way. We can divide both numbers by their greatest common factor, which is 1. In this case, the fraction remains the same.

Alternative Way to Simplify

Alternatively, we can try to simplify the fraction by dividing both numbers by their lowest common multiple (LCM). However, this method is not necessary in this case, as we already found that the GCD is 1.

In conclusion, the simplified fraction of 7/36 is still 7/36, as we couldn't find a common factor to simplify it further.

Encourage Engagement:

Now that you know how to simplify 7/36, try simplifying other fractions using these steps! Share your results in the comments below, and don't forget to like and share this article with your friends.

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